S K Khanuja Solutions for Chapter: Linear Equations in One Variable, Exercise 2: Exercise 25

A number is $\frac{2}{5}$ times another number. If their sum is $70$, find the numbers.

The fifth part of a number when increased by $5$ equals its fourth part decreased by $5$. Find the number.

 Find two consecutive positive odd integers whose sum is $76$

Divide $184$ into two parts such that one-third of one part may exceed one-seventh of the other part by $8$, then the smaller part is

Two equal sides of a triangle are each $5$ metres less than twice the third side. If the perimeter of the triangle is $55$ metres, find the lengths of its sides.

Haribabu left one-third of his property to his son, one-fourth to his daughter and the remainder to his wife. If his wife's share is rupees $18,000$, what was the worth of his total property $\left(\mathrm{in}₹\right)$?

Five years ago, a man was seven times as old as his son. Five years hence, the father will be three times as old as his son. Find their present ages.

A labour is engaged for twenty days on the condition that he will receive $₹60$ for each day he works and will be fined $₹5$ for each day he is absent. If he receives $₹745$ in all, for how many days did he remain absent?