Question

Present ages of Shreya and Sonu are in the ratio 2 : 5. Four years from now their ages will be 1:2. Find their present ages.​

Answer 1

Answer:

• Shreya 's age = 8 years.
• Sonu 's age = 20 years.

Explanation:

Given,

Present age ratio of Shreya and Sonu is 2 : 5

4 years later the ratio becomes 1 : 2

Find their present age.

Let's say, the present age of,

• $\rm Shreya = 2x$
• $\rm Sonu = 5x$

4 years hence,

• $\rm Shreya’s \: age = (2x + 4) \: years$
• $\rm Sonu’s \: age = (5x + 4) \: years$

According to the question,

$\rm \implies \: \dfrac{(2x + 4)}{(5x + 4)} = \dfrac{1}{2}$

$\rm \implies \: {2(2x + 4)} = {1(5x + 4)}$

$\rm \implies \: 4x + 8 = 5x + 4$

$\rm \implies \: 8 - 4 = 5x - 4x$

$\rm \implies \: 4 =x$

Hence, Present age of :-

• $\rm Shreya = 2x = 2(4) = 8 \: years.$
• $\rm Sonu = 5x = 5(4) = 20 \: years.$

_____________________

Verification :

We got their age as 8 and 20 years respectively.

4 years later it would be 12 and 24 years respectively.

Given that, the age ratio after 4 years is 1 : 2

Then,

= 12 : 24

= 1 : 2

Hence, verified!!