three numbers are in the ratio of 1:2:5. the sum of their cubes is 68608. find the numbers.
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Step-by-step explanation:
let the three numbers be 1x,2x,and 5x
the cube of the numbers is,
(1x)³, (2x)³ and (5x)³
the sum of their cubes=68608
(1x)³+(2x)³+(5x)³=68608
1x³+8x³+25x³=68608
x³(1+8+25)=68608
x³(34)=68608
x³=68608/34.
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