Question

Two numbers are in the ratio 4:5. If the difference between their cubes is 122, find the numbers.

Answer 1

Step-by-step explanation:

Given,

Two numbers are in the ratio =4:5

Difference between their cubes =61

Let's assume the numbers to be 4x and 5x

So, we have

(5x)3−(4x)3=61

125x3−64x3=61

61x3=61

⇒x3=1=(1)3

∴x=1

Hence, 4x=4×1=4 and 5x=5×1=5

Therefore, the numbers are 4 and 5.