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Question

Three numbers are in ratio 5:6:7. If the sum of the squares of those three numbers is 440 then find the sum of the three numbers.

Q: Three numbers are in ratio 5:6:7. If the sum of the squares of those three numbers is 440 then find

A : B : C = 5x : 6x : 7x A 2 + B 2 + C 2 = 25x 2 + 36x 2 + 49x 2 = 110x 2 => 110x 2 = 440 => x = 2 => A + B + C = 5x + 6x + 7x = 18x = 18 ×2 = 36

A 42

B 28

C 40

D 36

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Question

Three numbers are in ratio 5:6:7. If the sum of the squares of those three numbers is 440 then find the sum of the three numbers.

Solution

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