Middle School

Bob is twice as old as Chuck, and Susie is 10 years younger than Bob. If the sum of their ages is 100 years, how old is Susie?

Answer :

The age of Susie is 34 years old

Solution:

Let the age of Chuck be "x"

Given that,

Bob is twice as old as Chuck

Age of Bob = twice as old as Chuck

Age of Bob = 2x ----- eqn 1

Susie is 10 years younger than Bob

Age of Susie = Age of Bob - 10

Age of Susie = 2x - 10 ---- eqn 2

Given that sum of their ages is 100 years

Therefore,

Age of chuck + Age of Bob + Age of Susie = 100

x + 2x + 2x - 10 = 100

5x - 10 = 100

5x = 110

x = 22

Therefore, Age of Susie = 2x - 10 = 2(22) - 10 = 44 - 10 = 34

Thus age of Susie is 34 years old