. Two numbers are in the ratio 3:2. If difference of their cubes is 152, find the numbers
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let the numbers be a,b
a:b=3:2
a=3x
b=2x
Given that,
a³-b³=152
(3x)³-(2x)³=152
27x³-8x³=152
19x³=152
x³=152/19
x³=8
x=2
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