Two
boys are playing on a ground. Both the boys are less than 10 years old. Age of
the younger boy is equal to the cube root of the product of the age of the two
boys. If we place the digit representing the age of the younger boy to the left
of the digit representing the age of the elder boy, we get the age of father of
the younger boy. Similarly, if we place the digit representing the age of the
elder boy to the left of the digit representing the age of the younger boy and
divide the figure by 2, we get the age of mother of the younger boy. The mother
of the younger boy is younger to his father by 3 years. Then, what is the age
of the younger boy?

a.
3

b.
4

c.
2

d.
None of these

Let x and y be the age of older and
younger boy respectively(both single digit).

According to given condition we know that y 2 =x.

Also Father's age = 10y +
x and Mother's age = (10x+y)/2

Only
value which satisfies above equations is x=4, y=2.