Answer:
The age of Susie is 34 years .
Step-by-step explanation:
Given as :
The statement is ,
Bob is twice as old as Chuck,
Susie is 10 years younger then Bob
The sum of age of Bob , Chuck , Susie = 100 years
Let The age of Bob = B years
Let The age of Chuck = C years
Let The age of Susie = S years
Now, According to statement
Age of Bob + Age of Chuck + Age of Susie = 100 years
i.e B + C + S = 100 years ........1
Again
Age of Bob = 2 × age of Chuck
i.e B = 2 C .......2
Again
Age of Susie = Age of Bob - 10 years
i.e S = B - 10
∵ B = 2 C
So, S = 2 C - 10 ........3
Solving equations 1 , 2 , 3
Put the vale of eq 2 and eq 3 into eq 1
So, 2 C + C + (2 C - 10) = 100
Or, (2 C + C + 2 C ) - 10 = 100
Or, 5 C = 100 + 10
Or, 5 C = 110
∴ C = [tex]\dfrac{110}{5}[/tex]
i.e C = 22 years
So, The age of Chuck = C = 22 years
The age of Bob = 2 C = 2 × 22 = 44 years
The age of Susie = S = 2 C - 10
I.e The age of Susie = S = 2 × 22 - 10
Or, The age of Susie = S = 34 years
Hence, The age of Susie is 34 years . Answer
