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?

Age of Cathy = 19

Step-by-step 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

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

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