Question

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

Answer 1

The ratio of two numbers is 9 : 16.

Let the numbers be 9x and 16x.

The sum of numbers = 100

⇒ 9x + 16x = 100

⇒ 25x = 100

⇒ x = `100/25`

⇒ x = 4

Thus, the required numbers are 9 × 4 = 36 and 16 × 4 = 64