Question

Suraj is older than Tushar by 6 years but Aniket is younger by 2 years Akshay is younger than Suraj by 4 years five years ago up Aniket was 12 years old whose ages were in the ratio 6 is to 5 last year​

Answer 1

The question, with necessary corrections for a better understanding, is : Suraj is older than Tushar by 6 years, but Aniket is younger by 2 years. Akshay is younger than Suraj by 4 years. Five years ago, Aniket was 12 years old. Whose ages were in the ratio 6 is to 5 last year​ ?

The ages of Suraj and Akshay were in the ratio 6 : 5 last year.

• Let the present age of Tushar be x years.

• According to given,

Present age of Suraj = (x + 6) years  -(i)

Present age of Aniket = (x - 2) years  -(ii)

Present age of Akshay = { (x + 6) - 4 } years

= (x + 6 - 4) years

= (x + 2) years  -(iii)

• Given,

Age of Aniket 5 years ago was 12 years

Also, age of Aniket 5 years ago = { (x -2) - 5 }  years [ from eq. (ii) ]

= (x - 2 - 5) years

= x - 7 years

Therefore, equating the ages of Aniket 5 years ago, we get,

(x - 7) years = 12 years

=> x = (12 + 7) years

=> x = 19 years

 The present age of Tushar is 19 years.

• Putting x = 19 in all equations, we get,

Present age of Suraj = (19 + 6) years = 25 years

Present age of Aniket = (19 - 2) years = 17 years

Present age of Akshay = (19 + 2) years = 21 years

• Now,

Age of Tushar last year = (19 - 1) years = 18 years

Age of Suraj last year = (25 - 1) years = 24 years

Age of Aniket last year = (17 - 1) years = 16 years

Age of Akshay last year = (21 - 1) years = 20 years

• Therefore, ratio of the ages of Suraj and Akshay last year was 24 years : 20 years = 6 : 5  (Answer)