The ratio between Gloria's and Sara's present ages is `4:7` respectively. Two years ago the ratio between their ages was `1:2` respectively. What will be Sara's age three years hence ?

Options

A. 17 years
B. 14 years
C. 11 years
D. 8 years

Answer

A

Explanation

Let Gloria's and Sara's present ages be `4x and 7x` years respectively.
Two years ago,
`(4x-2)/(7x-2)=(1)/(2)`
`rArr 8x-4=7x-2`
`rArr x=2`
` therefore` Sara's age three years hence `=7x+3= 17 years`.