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.

A 32 Correct Answer Incorrect Answer
B 38 Correct Answer Incorrect Answer
C 30 Correct Answer Incorrect Answer
D 36 Correct Answer Incorrect Answer

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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