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:

24 years.

B is correct option.

Step-by-step explanation:

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

Hence, we have

$\frac{x}{y}=\frac{3}{4}\\\\x=\frac{3}{4}y.......(1)$

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

$\frac{x+12}{y+12}=\frac{5}{6}$

Cross multiplying, we get

$6x+72=5y+60$

Plunging, the value of x from equation (1)

$6(\frac{3}{4}y)+72=5y+60\\\\\frac{9y}{2}+72=5y+60\\\\\frac{y}{2}=12\\\\y=24$

Therefore, Mark's current age is 24 years.

Answer 2

Mark's current age is 24