Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Will is w years old.
Ben is 3 years older.
1. Write an expression, in terms of w, for Ben's age.
Jan is twice as old as Ben.
2. Write an expression, in terms of w, for Jan's age.
If you add together the ages of Will, Ben and Jan the total comes to 41 years.
3. Form an equation and solve it to work out how old Will, Ben, and Jan are.

Sagot :

rococo908

Answer:

Will is 8 years old, Ben is 11 years old, and Jan is 22 years old

Step-by-step explanation:

Since Ben is 3 years older, his age can be represented by w + 3

Jan is twice as old as Ben, so her age can be represented by 2(w + 3)

Set up an equation that adds up these expressions and sets it equal to 41:

(w) + (w + 3) + 2(w + 3) = 41

Simplify, add like terms, and solve for w:

(w) + (w + 3) + 2(w + 3) = 41

(w) + (w + 3) + (2w + 6) = 41

4w + 9 = 41

4w = 32

w = 8

So, Will is 8 years old.

Find Ben's age by adding 3 to this:

8 + 3

= 11

Find Jan's age by multiplying this by 2:

11(2)

= 22

So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.