Middle School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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 :

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

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Final answer:

Chuck's age is 22 years old, making Bob's age 44 and Susie's age 34, as we solve the equation c + 2c + (2c - 10) = 100 where c is Chuck's age.

Explanation:

Let's denote Chuck's age as c. According to the problem, Bob is twice as old as Chuck, so Bob's age is 2c. Susie is 10 years younger than Bob, making her age 2c - 10. We are told that the sum of their ages is 100, so we can write the equation:

c + 2c + (2c - 10) = 100

Solving for c will give us:

5c - 10 = 100

5c = 110

c = 22

Therefore, Bob is 44 years old (2c) and Susie is 34 years old (2c - 10).