Question

Please help no links tho

Michael is 10 years younger than Wanda. Linda is 5 years older than Wanda. The sum of
all their ages is 31 years. Which equation represents the sum of their ages in terms of
Wanda's age (w)?
A.
2w+15=31
B.
3w+15=31
C.
2w-5=31
D.
6
3w-5=31

Answer 1

Answer is D. 3w-5=31

Step by step

We know Wanda is w
We know Michael is w-10
We know Linda is w + 5
We know they equal 31

Put this into an equation

w + w - 10 + w + 5 = 31

Combine terms

3w -5 = 31 is the equation

If you wanted to solve it, 3w = 36, w= 12

Substitute w value of 12 into equation

(3)(12) -5 = 31

31 = 31

So they equal proving you are right
You can check your work with ages too

Wanda = 12
Michael is 12- 10 = 2
Linda is 12 + 5 = 17

Add together 12 + 2 + 17 = 31
All their ages = 31

Problem solved!