Question

Present ages of Shreya & Suhani are in the ratio 3:4.Five years after the ratio of their ages will be 4:5.Find their present ages. 

Answer 1

Answer:

Shreya's present age = 15 years

Suhani's present age = 20 years

Step-by-step explanation:

Let Shreya's present age be 3x and Suhani's present age be 4x.

Then, 5 years later,

Shreya's age = 3x + 5

Suhani's age = 4x + 5

But we are given that,

After 5 years,

Shreya : Suhani = 4 : 5

So,

(3x + 5) : (4x + 5) = 4 : 5

We know that,

Product of means = Product of extremes

(4x + 5) × 4 = (3x + 5) × 5

4(4x + 5) = 5(3x + 5)

16x + 20 = 15x + 25

16x - 15x = 25 - 20

x = 5

Thus,

Shreya's present age = 3x = 3(5) = 15 years

Suhani's present age = 4x = 4(5) = 20 years

Hence,

Shreya's present age = 15 years

Suhani's present age = 20 years

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