Question

Andrea, Beth, & Cathy's ages are consecutive whole numbers. Andrea is the youngest, and Cathy is the oldest. The sum of their ages is 54. How old is Cathy?

Answer 1

Age of Cathy = 19

Explanation:

Find:

Sum of their ages = 54

Assume;

Age of Andrea = x

Age of Beth = x + 1

Age of Cathy = x + 2

Sum of their ages = x + x + 1 + x + 2

54 = 3 x + 3

3 x = 51

x = 17

Age of Cathy = x + 2

Age of Cathy = 17 + 2

Age of Cathy = 19