(challenger)(give answer with full explanation)
the sum of the squares of three numbers which are in the ratio 2:3:4 is 725. what are the numbers.
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let the no.s be 2x, 3x and 4x
(2x)² +(3x)² +(4x)² = 725
4x² +9x² +16x² =725
29x² = 725
x² = 25
x =5
∴the no.s are 10, 15 and 20
(2x)² +(3x)² +(4x)² = 725
4x² +9x² +16x² =725
29x² = 725
x² = 25
x =5
∴the no.s are 10, 15 and 20
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