O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Linear Equations in One Variable, Exercise 3: Exercise

Rakesh is now $3$ times as old as his little brother Pinku, but in three more years he will be only twice as old as Pinku will be then. How old are they now?

In basketball game a field goal counts $2$ points and a foul shot one point. Shreyash scored $14$ points in a game. He made $3$ times as many field goal as foul shots. On how many shots of each kind did he score?

The length of a rectangle is $6 \mathrm{m}$ less than twice its breadth. If the perimeter of the rectangle is $54 \mathrm{m}$, find its length and breadth.

I have some $5-$rupee coins and some $2-$rupee coins. The number of $2-$rupee coins is $4$ times that of $5-$rupee coins. If I have $₹117$ in all, find the number of coins of each denominations.

A number is divided into two parts such that one part is $10$ more than the other. If the two parts are in the ratio $5:3$. Find the numbers.

Pratik left one-third of his property for his son, one-fourth for his daughter and the remainder for his wife. If wife's share in the property was worth $₹10 \mathrm{lakh}$ and the total worth of Pratik's property is $₹k \mathrm{lakh}$, then find the value of $k$.

One-fourth of a herd of deer have gone to the forest. One-third of the total number are grazing in a field and remaining $15$ are drinking water on the bank of a river. Find the total number of deer.

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If $\frac{1}{3}$ is subtracted from a number and the difference is multiplied by $3$, the result is $5$. The number is