The ratio of Amit’s and Ankit’s present age is 10 : 13. Amit is 18 years…

To solve this problem, we need to find the present ages of Amit and Ankit and then calculate their ages after 12 years to determine the final ratio.

Step-by-Step Calculation
Define Present Ages:

The ratio of Amit's age to Ankit's age is 10:13.

Let Amit's present age be 10x and Ankit's present age be 13x.

Use the Age Difference:

Amit is 18 years younger than Ankit.

13x - 10x = 18

3x = 18

x = 6

Determine Current Ages:

Amit's present age = 10 * 6 = 60 years.

Ankit's present age = 13 * 6 = 78 years.

Calculate Ages After 12 Years:

Amit's future age = 60 + 12 = 72 years.

Ankit's future age = 78 + 12 = 90 years.

Calculate the Future Ratio:

Ratio = 72 / 90

Simplifying by dividing both by 18: 72 ÷ 18 = 4, and 90 ÷ 18 = 5.

The ratio is 4:5.