The ratio of present ages of P and Q is `5 : 8` . Three years later their ages will be in ratio 8 : 1 1. What is the present age (in years ) of Q ?

Options

A. 5
B. 11
C. 14
D. 8

Answer

D

Explanation

Suppose the present age of P=xyears
Present age of Q =8xyears
3 years hence
Age of P = 5x+3
Age of Q `=8x+3`
According to question
`(5x+3)/(8x+3)=(8)/(11)`
`rArr55x+33=64x+24`
`rArr64x-55x=33-24`
`rArr9x=9`
`thereforex=(9)/(9)=1`
Present age of Q `=8x=8xx1=8` years