Application of Equations

A person receives $10$rupees note and $20$ rupee note in exchange of a $1000$rupee note. If he received a total number of $75$notes, how many $10$rupee notes are there?

One number is $45$ more than the other. If their sum is $76$, what are the numbers.

Ramesh give one-third of his savings to his wife and two-fifth to his son. Now he had $\mathrm{Rs}. 24000$ left with him. Find Ramesh's total saving.

One-third part of a certain amount was given to Ashok and rest to Anil. If Anil got $\mathrm{Rs}. 524$, what did Ashok get?

Rohan is $21$ years younger than his father after $7$years there age will be in the ratio of $3:4.$find their present age.

The sum of the digits of a two-digit number is $9$. If $27$ is subtracted from the number, its digits are interchanged. Which of these is the product of the digits of the number?

Ramu's father is thrice as old as Ramu. After $12$ years, he will be just twice his son. Find their present ages?

In a camp there are provisions for $400$ persons for $23$days. If $60$more persons join the camp find the number of days the provisions will last?

By adding $11$ to the twice a number gives $61$ . Find the number.

A sum of rupees $1000$in the denomination of rupees $5$ and $10$. If the total number of notes are $180$. Find the number of notes of each type

Philip bought two books from the market for $₹260$. He does not remember the price of the books, but remember that one book costs $₹20$ more than the other. What is the cost of each book?

A man donated $5\%$ of his income to a charitable organisation and deposited $20\%$ of the remaining in a bank. Now if he has $₹ 1919$ left, what is his income?

Divide $₹200$ into two parts such that $\frac{1}{3}$ of the first part is equal to $\frac{1}{2}$ of the second are equal.

Amit is as much younger to Barkha as he is older to Chaman. If the sum of the ages of Barkha and Chaman is $48$years, what is the present age of Amit?

The average weight of $6$ mangoes is decreased by $0.03 kg$. When a mango weighing $0.64 kg$ was replaced by a new mango. What is the weight of the new mango?

Kalyan's present age is one-third his mother's present age. If the mother's age was five times his age $6$ years ago, what are their present ages?

In a two digit number, the number at ten's place is double of the number at unit's place. If we exchange the numbers mutually then the number decreases by $18$ , then the number is

If $20$is added to $6$ times of a number the sum is $50$.

Represent above statement by using Mathematical language.

Reena is $20$ years younger to her mother. After $10$ years, her mother will be twice as old as Reena will be. How old is Reena now ?

Radha's monthly income is $₹45000$. Her expenses are $\frac{2}{3}$ of her income. How much does she saves per month.