Three numbers are in the ratio 4:5:7. If the sum of their squares is 3240, find the three numbers.
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let the common multiple be X
(4x) x (4x) + (5x) x (5x) + (7x) x (7x) = 3240
16x^2 +25x^2+49x^2 = 3240
90x^2 = 3240
x^2 = 3240/90
x^2 = 36
x =6
those numbers =
4x = 4 x 6 = 24
5x = 5 x 6 = 30
7x = 7 x 6 = 42
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