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 ⇒ 9x2+ 25x2+ 36x2= 630 ⇒ 70x2= 630 ⇒ x2= 9 ⇒ x = 3 ∴ Numbers are 9, 15 and 18.
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