Middle School

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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

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