The ages of Tim,Baron and Aron are consecutive integers.Tim is younger than Aron but older than Baron.Tim's mother is thrice as old as Tim and 14 years older than twice as old as Aron.Find the ages of each.

Let Aron’s age = n

Tim’s age = n - 1

Baron’s age =n - 2

Mother’s age =3(n - 1)

Mother’s age =2n + 14

3(n - 1) = 2n + 14

3n - 3 = 2n + 14

3n - 2n = 14 + 3

n = 17 Aron’s age

17 - 1 = 16 Tim’s age

17 - 2 = 15 Baron’s age

3(17 - 1) =2*17 + 14 =48 Mother’s age