Question
Three numbers are in ratio 2:3:5. If the sum of the
squares of those three numbers is 342 then find the sum of the three numbers.Solution
A : B : C = 2x : 3x : 5x A2 + B2 + C2 = 4x2 + 9x2 + 25x2 = 38x2 => 38x2 = 342 => x = 3 => A + B + C = 2x + 3x + 5x = 10x = 10 × 3 = 30
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