The present ages of three friends are in the proportions 6:7: 8. Five years ago, the sum of their ages was 48 years. Find out their present ages in years.

Options

A. 24, 28, 32
B. 18, 21, 24
C. 30, 35, 40
D. 12, 14, 16

Answer

B

Explanation

Suppose the present ages of three friends are respectively 6x years, 7x years and 8x years.
Five years ago their ages were : 6x-5 years, 7x-5 years 8x-5 years
According to question,
`(6x-5)+(7x-5)+(8x-5)=48`
`implies21x-15=48`
`implies21x=48+15`
`:.x=(63)/(21)=3`
Now, the present ages of the three friends
`6x=6xx3=18` years
`7x=7xx3=21` years
`8x=8xx3=24` years