Question

9.
If the prefer ages of A and B are in ratio of 9:4 and after 7 years the ratio of
the ages will be 5:3 then find their present ages.​

Answer 1

Answer:

Their present ages are:

A = 9/13 × 26 = 18 years

B = 26 years - 18 years = 8 years

Step-by-step explanation:

Let the sum of the ages of A and B be x.

The sum of the ratio of their ages = 9 + 4 = 13

The age of A now is = 9/13x

The age of B is = 4/13x

In 7 years time, their ages will be:

A = 9/13x + 7

B = 4/13x + 7

The ratio of their ages will be:

(9/13x + 7)/(4/13x + 7) = 5/3

3(9/13x + 7) = 5(4/13x + 7)

27/13x + 21 = 20/13x + 35

27/13x - 20/13x = 35 - 21

7/13x = 14

x = 13/7 × 14

x = 26

The sum of their current age is 26 years.

Their respective ages will be:

A = 9/13 × 26 = 18 years

B = 26 years - 18 years = 8 years