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.

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

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: