1.

The ratio of the present ages of A and B is 5:6. The ratio of their ages five years before was 45 Find their presentages.​

Answer»

Given:-

  • Ratio of ages five years before = 4:5

To Find:-

  • The Present age of A & B.

Solution:-

Let the age of 'A' be 5x....................(i)

and, the age of 'B' be 6x.................(ii)

Now, Age of 'A' & 'B' five years before

(5x-5)/(6x-5) = 4/5 (here ratio is written in fraction)

→ (5x-5)/(6x-5) = 4/5

Cross MULTIPLICATION

→ 5(5x-5) = 4(6x-5)

→ 25x-25 = 24x - 20

→ 25x-24x = -20+25

→ x = 5

Now, Substitute the value of x in equation (i) & (ii) we get

→ 5x = 5×5 = 25years

→ 6x = 6×5 = 30years

∴The present age of 'A' is 25 years.

And, the present age of 'B' is 30 years.


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