Question

The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find thenumbers.

a. 30, 19
b. 21, 37
c. 15, 34
d. 15, 27​

Answer 1

(5x - 5)/(9x - 5) = 5/11

11(5x - 5) = 5(9x - 5)

55x - 55 = 45x - 25

10x = 30

x = 3

The numbers are 5(3) = 15 and 9(3) = 27.

The correct answer is D.