Question
Three numbers are in ratio 4:5:7. If the sum of the
squares of those three numbers is 360 then find the sum of the three numbers.Solution
A : B : C = 4x : 5x : 7x A2 + B2 + C2 = 16x2 + 25x2 + 49x2 = 90x2 => 90x2 = 360 => x = 2 => A + B + C = 4x + 5x + 7x = 16x = 16 × 2 = 32
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