Question

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

Answer 1

Step-by-step explanation:

first you put the x and apply cube in the ratio

4:5 = (4x)^3:(5x)^3

(5x)^3 - (4x)^3 = 61

125x - 64x = 61

61x = 61

x = 61÷61

x = 1

4x = 4×1 = 4

5x = 5×1 = 5

let prove it and check it is 0 or not -

(5)^3 - (4)^3 = 61

125 - 64 = 61

61 = 61

=61 - 61

= 0

let it is correct

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