Question

One - third of a number when decreased by 2 equals one - fifth of the number increased by 8. Find the number.

Answer 1

Let number be x

$\frac{x}{3}-2=\frac{x}{5}+8$

$\frac{x}{3}-\frac{x}{5}=10$

$\frac{5x-3x}{15}=10$

$2x=15\times 10$

$x=15\times 5=75$

$\therefore$Number is $75$