Problems Based on Ages

The difference between a mother's age and the sum of her two daughter's age is $8$. The average age of two daughters is $24$. What is the age of the mother?

If $6 \mathrm{year}$are subtracted from the present age of Randheer and the remainder is divided by $18$, then the present age of his grandson Anup is obtained. If Anup is $2 \mathrm{yr}$younger to Mahesh whose age is $5 \mathrm{yr}$, what is the age of Randheer?

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?

The ratio of Rama's age and Shyama's age is $5:1$. If the product of their ages is $125$, what will be the ratio of their ages after $3$ years?

Hari is twice as old as Johnny, who is three years older than Rahul. If Hari's age is five times Rahul's age, how old is Johnny?

The ratio of present ages of Anju and Sandhya is $13:17$. Four years ago the ratio of their ages was $11:15$. What will be the ratio of their ages six years hence?

Father's age was $5$ times his son's age $5$ years ago and will be $3$ times the son's age after $2$ years. The ratio of the present age of the father to that of the son is -

The ages of Samina and Suhana are in the ratio of $7 : 3$ respectively.After $6$ Years the ratio of their ages will be $5 : 3$. What is the difference in their ages?

A father is now three times as old as his son. Five years back, he was four times as old as his son. Find the age of the son (in years).

Ramesh is$60 \mathrm{years}$ old. Suresh is $5 \mathrm{years}$ junior to Ramesh and $4 \mathrm{years}$ senior to Raju. The youngest brother of Raju is Saket and he is $6 \mathrm{years}$ junior to him. What is the age difference between Ramesh and Saket?

The average age of boys in the class is twice the number of girls in the class. The ratio of boys and girls in the class of $50$ is $4 : 1$. The total of the ages (in years) of the boys in the class is-

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.

The present ages of Gaurav and Saurav are in the ratio of $6:7$ respectively. After $6$ years their ages will be in the ratio of $15:17$ respectively. What is Gaurav's present 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.

1. Geeta's weight less than Reema
2. Geeta's weight more than Seema
3. Of all three girls Seema's weight least.

If the first two statements are true then third is -

$2$ years ago, a mother was $4$ times as old as her son. After $6$ years from now, her age will become more than double her son's age by $10$ years. What is the present ratio of their ages?

Your age is $10$ years less than half your mother's age who is $5$ years younger than your father. If your father is $45$ years old. What is your age?

The ratio of Rita's age to the age of her mother is $3 : 11$. The difference of their ages is $24 \mathrm{years}$. What will be the ratio of their ages after $3 \mathrm{years}?$

$\mathrm{Five} \mathrm{years}$ hence, the age of Jacob will be $\mathrm{three} \mathrm{times}$ that of his son. $\mathrm{Five} \mathrm{years}$ ago Jacob's age was $\mathrm{seven} \mathrm{times}$ that of his son. What are their present ages?