Question

The sum of two numbers is $158.$ One of the numbers exceeds the other by $8.$ Which are the two numbers.

Answer 1

Let the first number $=x.$

second number $=8$ exceeds the first number.

$=x+8.$

Given sum of two number $=158$

$x+(x+8)=158$

$\Rightarrow 2x+8=158$

$\Rightarrow 2x=158-8$

$\Rightarrow 2x=150$

$\Rightarrow x=\frac{150}{2}$

$\Rightarrow x=75$

Therefore, first number $x=75.$

Second number $x+8=75+8=83.$