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

The current age of Mark's is 24 years

Explanation:

Given as :

The ratio of sunita's age to Mark's age is 3 : 4

After 12 years the ratio is 5 : 6

So, Let The age of Sunita = 3 x

The age of Mark's = 4 x

∴
`(3 x + 12)/(4 x + 12)` =
`(5)/(6)`

Or, 6 × ( 3 x + 12 ) = 5 × ( 4 x + 12 )

Or, 18 x + 72 = 20 x + 60

Or, 20 x - 18 x = 72 - 60

Or, 2 x = 12

∴ x =
`(12)/(2)` = 6

So , Let The age of Sunita = 3 x = 3 × 6 = 18 years

The age of Mark's = 4 x = 4 × 6 = 24 years

Hence The current age of Mark's is 24 years Answer