Mr. Smith is 3 times as old as his daughter and she is 2 years younger than her brother. The three Smith's ages add up to 67. How old is each?

Answer 1

age of daughter = x

age of mr. smith = 3x (3 times as old)

age of brother = x+2 (2 years older than sister)

sum of ages x + (3x) + (x+2) = 67

5x + 2 = 67

5x = 65

x = 13

daughter = 13

Mr. smith = 3*13 = 39

brother = 13 + 2 = 15

sum = 67