Question

Find two numbers whose sum is 100 and whose ratio is 9: 16.

Answer 1

Ratio of two numbers = 9:16
Let the first number be 9x
And the second number be 16x
Given sum of the numbers = 100 $\Rightarrow$ 9x + 16x = 100 $\Rightarrow$25x = 100 $\Rightarrow$ x = 4
First number = 9x = 9 $\times$4 = 36
Second number = 16x = 16 $\times$ 4 = 64
$\therefore$ The numbers are 36 and 64.