Question

If the ratio of the sum and difference of two numbers be 17 : 13, which one of the following is the ratio of the numbers?

Options

• 12 : 5

• 15 : 2

• 9 : 8

• 2 : 15

Answer 1

15 : 2

Explanation:

Let the numbers be x and y.

According to the question,

∴ `("x" + "y")/("x" - "y") = 17/13`

or 13x + 13y = 17x − 17y

or 17x − 13x = 13y + 17y

or 4x = 30y

or `"x"/"y" = 30/4 = 15/2`

∴ x : y = 15 : 2