Answer & Explanation
D) E = 4 & Y = 2
Let the the age of the elder boy = E
Let the the age of the younger boy = Y
Given that Y = cube root of EY
=> = EY => E = .....(1)
By the condition of number replacement the age of the father is YE
The Mother's age = EY/2
But she is 3 years less than father => EY/2 + 3 = YE
2YE = EY + 6 ......(2)
Then now from the given options we can identify which satisfies the all the conditions.
Here Y =2 and E = 4 satisfies all the conditions.