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