the age of A Is five years more than that of B.5 years ago, the ratio of their age was 3:2. find their present ages

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