The ratio of three numbers is 3:4:5 and the sum of their squares is The sum of the numbers is:

A 30

B 50

C 60

D 90

Correct Answer: Option C

Let the numbers be 3x, 4x and 5x Then,

9x2 + 16x2 + 25x2 = 1250

<=> 50x2 = 1250

<=> x2 = 25

<=> x = 5.

∴

Sum of numbers = (3x + 4x + 5x) = 12x = (12 * 5) = 60.