Problems Based on Ages

Read the following information carefully and answer the questions given below.

The average age of Ramesh, Sushant, Vipul, Neelu, Amit and Rohan is $348 \mathrm{years}$. The total age of Amit and Vipul is $124 \mathrm{years}$. Sushant's age is thrice the Neelu's age. The average age of Ramesh and Rohan is $52 \mathrm{years}$. Vipul is $4$ years younger to Sushant. The ratio between the ages of Ramesh and Rohan is $29:23$ respectively.

What is the average age of Sushant, Neelu, Vipul and Amit?

Directions (Questions $41$ to $48$) : Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and
Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question
Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question
Give answer (e) if the data in both Statements I and II together are necessary to answer the question

What is the average age of A and B?
I. The ratio between one-fifth of A's age and one-fourth of B's age is $1:2$.
II. The product of their ages is $20$ times B's age.

Read the following information carefully and answer the questions given below.

The average age of Ramesh, Sushant, Vipul, Neelu, Amit and Rohan is $58 \mathrm{years}$ . The total age of Amit and Vipul is $124 \mathrm{years}$. Sushant's age is thrice the Neelu's age. The average age of Ramesh and Rohan is $52 \mathrm{years}$. Vipul is $4 \mathrm{years}$ younger to Sushant. The ratio between the ages of Ramesh and Rohan is $29:23$ respectively.

Who of the following is the youngest?

Directions : Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statements is/are necessary to answer the question.

What is the difference between the ages of$Y$ and $X$?
I. The ratio between the ages of $X$ and $Y$ is $2:3$.
II. $Y\text{'}s$ age is $50\%$ more than $X\text{'}s$ age.
III. One-fourth of $X\text{'}s$ age is equal to one-sixth of $Y\text{'}s$  age.

Directions : Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statements is/are necessary to answer the question.

What is the present age of Tanya?
I. The ratio between the present ages of Tanya and her brother Rahul is $3:4$ respectively.
II. After $5 \mathrm{years}$ the ratio between the ages of Tanya and Rahul will be $4:5$.
III. Rahul is $5 \mathrm{years}$ older than Tanya.

Directions (Questions $41$to $48$) : Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and
Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;
Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question;
Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question;
Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question;
Give answer (e) if the data in both Statements I and II together are necessary to answer the question.

Average age of employees working in a department is $30$years. In the next year, ten workers will retire. What will be the average age in the next year?
I. Retirement age is $60$ years.
II. There are $50$ employees in the department.

Read the following information carefully and answer the questions given below.

The average age of Ramesh, Sushant, Vipul, Neelu, Amit and Rohan is $358$ years. The total age of Amit and Vipul is $124$years. Sushant's age is thrice the Neelu's age. The average age of Ramesh and Rohan is $52$ years. Vipul is $4$ years younger to Sushant. The ratio between the ages of Ramesh and Rohan is $29:23$respectively.

What is the respective ratio between the Amit and Neelu?

Three years ago, the average age of a man, his wife and his son was 27 years. If five years ago, the average age of his wife and his son was 20 years, then how old the man is at present?

Ramesh is five years older than Suresh. Respective ratio between Suresh’s age and Madan’s age is $3 : 8$. Raju is $8$ years younger than Madan. Raju’s present age is $48$years. What is Ramesh’s present age?

6 years ago Sumitra’s age was 6 times as that of Lishika, 6 years hence Sumitra’s age will be thrice that of Lishika. Find the average of their ages after 12 years.

6 years ago Sumitra’s age was 6 times as that of Lishika, 6 years hence Sumitra’s age will be thrice that of Lishika. Find the average of their ages after 12 years.

Vikas is older than Vimal by $14$ years. Four years ago, the ratio of the ages of Vikas and Vimal was $17 : 10$ respective. What will be Kunal’s age $9$ years hence, if Kunal’s present age is half of that of Vimal?

The ratio of the current ages of Neelam and Mansi is $3 : 4$, while that of Kashi and Aditi is $3 : 5$. If the difference between the ages of Neelam and Mansi is ______ years, then the ratio of the ages of Neelam and Mansi ______ years ago is equal to the current age ratio of Kashi and Aditi.

Which of the following options satisfies the two blanks in the question?

A. $4, 6$

B. $6, 9$

C. $12, 18$

D. $16, 20$

The ratio of the ages of Mohana and her daughter Sandhya ten years hence wiII be $5: 3$. Ten years ago the ratio of their ages was $3: 1$. What is the difference between their age at present? 

Two years ago, one-fifth of Avantika's age was equal to one-fourth of the age of Sumitra, and the average of their age was $27$ years. If the age of Priyanka is also considered, the average age of three of them declines to $24$ years. What will be the average age of Sumitra and Priyanka $3$ years from now?

Ankit's father was $38$ years of age when he was born. While his mother was $36$ years old when his brother, who is $6$ years younger than him, was born. What is the difference between the ages of his father and mother?

The average age of a man and his son is $40$ years. The ratio of their ages $15$ years hence is $7:4$ respectively. If the ratio of the present ages of the man and his wife is $11:9$, then what is the age of his wife?

If the ages of P and R are added to twice the age of Q, the total becomes $59$. If the ages of Q and R are added to thrice the age of P, the total becomes $68$ and if the age of P is added to thrice the age of Q and thrice the age of R, the total becomes $108$. What is the age of P?

`The ratio of the present age of Manoj to that of Wasim is $3:11$. Wasim is $12$years younger than Rehana. Rehana's age after $7$ years will be $85$ years. What is the present age of Manoj's father who is $25$ years older than Manoj?

The ages of Vaibhav and Jagat are in the ratio of 12 : 7 respectively, After 6 years the ratio of their ages will be 3 : 2. What is the difference in their ages?