Question

5 years ago somis agr at that time was 1/3rd of amits age at that time the respective ratio between amits age six years hence and somis age twelve years hence wil be 7:4 what was somis age three years ago

Answer 1

Answer:

17 Years

Step-by-step explanation:

Let Say Somi Current Age = S years

Amit Current Age = A Years

5 years Ago Somi age = S-5  Years

5 years Ago Amit age = A-5  Years

S-5 = (1/3)(A-5)

=> 3S - 15 = A - 5

=> 3S - A = 10  - eq 1

After Six year Amit age   = A + 6 Years

After 12 Years Somi Age = S + 12

A+6 : S + 12 :: 7:4

=> (A+6)/(S+12) = 7/4

=> 4A + 24 = 7S + 84

=>  4A - 7S = 60   Eq 2

4 * eq 1 + Eq2

=> 5S = 100

=> S = 20

Somi current age = 20 Years

Somi age 3 years before = 20-3 = 17 Years