Question

Three numbers are in the ratio 3:5:6. If the sum of their squares is 630, then the numbers are:

Q: Three numbers are in the ratio 3:5:6. If the sum of their squares is 630, then the numbers are:

Let the numbers be 3x, 5x and 6x respectively. ⇒ (3x) 2 + (5x) 2 + (6x) 2 = 630 ⇒ 9x 2 + 25x 2 + 36x 2 = 630 ⇒ 70x 2 = 630 ⇒ x 2 = 9 ⇒ x = 3 &there4; Numbers are 9, 15 and 18.

A 7,13,16

B 9,15,18

C 5,10,14

D 6,11,15

E None of these

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Question

Three numbers are in the ratio 3:5:6. If the sum of their squares is 630, then the numbers are:

Solution

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