Question

The sum of two numbers is $94$, and one of them is $30$ more than the other. The larger of the two numbers is

Answer 1

Let the smaller number be $x$
Accordingly, the larger number is $x+30$
Given that the sum of two numbers is $94$
$\Rightarrow x+(x+30)=94$
$\Rightarrow 2x+30=94$
Subtract $30$ from both the sides
$\Rightarrow 2x+30-30=94-30$
$\Rightarrow 2x=64$
Divide by 2 on both the sides
$\Rightarrow \frac{2x}{2}=\frac{64}{2}\Rightarrow x=32$
The larger number is $x+30=32+30=62$