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