Adam, Brian, and Casey are all brothers. Brian is three years less than twice Casey’s age. Adam is 9 years older than Casey. The sum of their ages is 46. How old is each of the brothers?

Answer 1

B = 2C - 3

A = C + 9

46 = A + B + C

46 = (C + 9) + (2C - 3) + C

46 = C + C + 2C + 9 - 3

46 = 4C - 6

40 = 4C

C = 10

B = 2(10) - 3 = 17

A = 10 + 9 = 19