Problema Solution

Mary is 3 times as old as bhawna and the sum of their ages 5 years from now will be twice as mary's present age. How old are they now?

Answer provided by our tutors

Let

m = Mary's present age

b = Bhawna's present age

Mary is 3 times as old as Bhawna:

m = 3b

The sum of their ages 5 years from now will be twice as Mary's present age:

m + 5 + b + 5 = 2m

m + b + 10 = 2m

We have the following system of equations:

m = 3b

m + b + 10 = 2m

........

click here to see the system of equations solved for m and b

........

m = 15 years

b = 5 years

Mary is 15 years old now.

Bhawna is 5 years old now.