👨‍👦 Age Ratio Puzzle 👦

Let’s break it down step by step:

Six years ago:

Kunal’s age = 6x

Sagar’s age = 5x

Present ages:

Kunal’s age = 6x + 6

Sagar’s age = 5x + 6

Four years hence:

Kunal’s age = 6x + 6 + 4 = 6x + 10

Sagar’s age = 5x + 6 + 4 = 5x + 10

The ratio of their ages four years hence is 11:10:

(6x + 10) / (5x + 10) = 11/10

Cross-multiply:

10(6x + 10) = 11(5x + 10)

Expand and simplify:

60x + 100 = 55x + 110

Subtract 55x from both sides:

5x = 10

Divide by 5:

x = 2

Now, find Sagar’s present age:

Sagar’s age = 5x + 6

= 5(2) + 6

= 10 + 6

= 16

Sagar’s age at present is 16.