Three numbers are in the ratio 1:2:3 and their squares'... – Arithmetic

Arithmetichard · Past Paper

Three numbers are in the ratio 1:2:3 and their squares' sum is 126. Find the numbers.

A3, 6, 9

B2, 4, 6

C4, 8, 12

D1, 2, 3

✓ Correct Answer: A — 3, 6, 9

(1x)^2 + (2x)^2 + (3x)^2 = 126 => x^2 + 4x^2 + 9x^2 = 126 => 14x^2 = 126 => x^2 = 9 => x = 3. Numbers are 3, 6, 9.

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