Question

The ratio of Sunita's age to Mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark's current age?

Answer 1

Answer:

Marks age is 24.

Step-by-step explanation:

If Sunita's age is x then Mark's age = 4x/3 years.

In 12 years their ages will be (x + 12) and 4x/3 + 12.

So (x + 12) / (4x/3 + 12) = 5/6

6(x + 12) = 5(4x/3 + 12)

6x + 72 = 20x / 3 + 60

72 - 60 = 20x/3 - 6x     Multiply through by 3:

216 - 180 = 20x - 18x

2x = 36

x = 18  = Sunita's age

So Mark's age is 18 * 4/3 = 24 years.