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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

2 Answers

5 votes

Mark's current age is 24


User Reda Maachi
by
7.8k points
4 votes

Answer:

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.

User ASDFGerte
by
8.6k points