Question

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

Answer 1

The age of Susie is 34 years .

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 =
`(110)/(5)`

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