Jagat Jitendra Matto Solutions for Chapter: Linear Equations in One Variable, Exercise 3: EXERCISE 8.3

The present ages of Aman and Naman are in the ratio $4 : 5$. Eight years hence, the ratio of their ages will be $5 : 6$. Find their present ages.
 

The ages of Mohan and Sohan are in the ratio $5 : 7$. If Mohan was $9$ years older and Sohan $9$ years younger, then their ages would be in the ratio $2 : 1$. Find their present ages.
 

A father is $3$ times as old as his son. After $15$ years, he will be twice as old as his son. What are their present ages?

The digit at the tens place of a two digit number is three times the digit at the ones place. If the sum of this number and the number formed by reversing its digits is $88$, find the number.

A number consists of two digits. The digit at the tens place is twice that of the digit at the units place. If $18$ is subtracted from the number, the digits are reversed. Find the number.

The numerator of a given fraction is 4 less than its denominator. If $3$ is subtracted from the numerator and $5$ is added to the denominator, the fraction becomes $\frac{1}{4}$. What is the given fraction?

The difference of two numbers is $50$. If the smaller number is divided by the greater, the fraction so obtained is $\frac{2}{3}$. Find the numbers.

A steamer goes downstream and covers the distance between two ports in $4 hours$ while it covers the same distance upstream in $5 hours$. If the speed of the stream is $2 km per hour$, find the speed of the steamer in still water.