Question

Two numbers are in the ratio 4:5. If difference of their cubes is 61 , find the numbers.

Answer 1

Answer:

64, 125 are the numbers

Answer 2

Answer:

Let the numbers be 4x and 5x.

As per given condition we have,

(5x)³-(4x)³=61

125x³-64x³=61

61x³=61

x³=61/61

x³=1

x=1

Now,

4x=4×1=4

5x=5×1=5

Hence required numbers are 4 and 5.

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