Answer:
A: 20 years old
B: 15 years old
Step-by-step explanation:
Let the present age of A be A, and the age of B be B.
5 years ago, their ages are A-5 and B-5 respectively.
So, we can write 2 equations from the given info.
A - B = 5 _____(1)
(A-5) / (B - 5) = 3/2 ____(2)
From equation (1),
A = 5 + B_____(3)
Substitute (3) into (2).
(5+B -5) / / (B - 5) = 3/2
B / (B-5) = 3/2
cross multiply:
3 (B-5) = 2B
3B - 15 = 2B
3B - 2B = 15
B = 15
Now substitute B = 15 into (3).
A = 5 + 15
A = 20
