If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be Choose the correct choice from the following choices:
A) 10
B) 14
C) 18
D) 22
E) 24

Rationale: explanation : let the numbers be 3 x , 2 x and 5 x . then , 9 x + 4 x + 25 x = 1862 ⇒ 38 x = 1862 ⇒ x = 49 ⇒ x = 7 . middle number = 2 x = 14 option b
Answer: B