Bob is twice as old as chuck, and susie is 10 years younger then bob if sum of their ages is 100 years how old is susie

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 =

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