Arithmetichard · Past Paper
Three numbers are in the ratio 2:3:5 and the sum of their squares is 608. Find the numbers.
A8, 12, 20
B10, 15, 25
C4, 6, 10
D12, 18, 30
✓ Correct Answer: A — 8, 12, 20
(2x)^2 + (3x)^2 + (5x)^2 = 608 => 4x^2 + 9x^2 + 25x^2 = 608 => 38x^2 = 608 => x^2 = 16 => x = 4. Numbers are 8, 12, 20.
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