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?

A) 18

B)24

C)30

D)36

Answer 1

Mark's current age is 24

Answer 2

24 years.

B is correct option.

Explanation:

Let Sunita's current age is x and that of Mark's is y.

Hence, we have

`(x)/(y)=(3)/(4)\\\\x=(3)/(4)y.......(1)`

Now, in 12 years the ratio will be 5 to 6. Thus, we have

`(x+12)/(y+12)=(5)/(6)`

Cross multiplying, we get

`6x+72=5y+60`

Plunging, the value of x from equation (1)

`6((3)/(4)y)+72=5y+60\\\\(9y)/(2)+72=5y+60\\\\(y)/(2)=12\\\\y=24`

Therefore, Mark's current age is 24 years.