Question

The Ratio of A's age and B's age is 4:5 if the difference between the present age of B and the age of A 5 year hence is 3 years ,then what is the total present age of A,B?

Answer 1

Answer:

this answer is wroung

Step-by-step explanation:

ok

Answer 2

The present ages of A and B are 12 years and 15 years respectively. The sum of their present ages is 27.

Given:

The ratio of A's age and B's age is 4:5.

The difference between the present ages of B and the age of A five years hence is 3 years.

To Find:

The present ages of A and B.

Solution:

Let us assume that the present ages of A and B are 'p' and 'q' respectively.

Assume that B is older than A.

We are given that the ratio of the present ages of A's age and B's age is 4:5

⇒ $\frac{p}{q} = \frac{4}{5}$

⇒ p = 4q/5    ........................(I)

The ages of A and B five years hence are p+5 and q+5 respectively.

The difference between the ages of A and B, five years hence, is 3 years.

⇒  (q+5) - (p+5) = 3

⇒ q - p = 3

⇒ q - 4q/5 = 3

⇒ q/5 = 3

⇒ q = 15.

Hence, the present age of B is 15 years.

Substituting the value of q in equation (I), we have

p = 4q/5 = (4 x 15)/5 = 12.

Hence, the present age of A is 12 years.

The sum of the present ages of A and B = 12 + 15 = 27.

∴ The present ages of A and B are 12 years and 15 years respectively. The sum of their present ages is 27.

#SPJ2