Question

Maggie’s brother is 11 years younger than twice her age. The sum of their ages is 31. How old is Maggie?

Answer 1

2x plus 11 equall 31 subtract 11 from 31 divide the answer by 2 and x equals 10

Answer 2

Hey there!

Let's write this as a system of equations.

m+b=31

b= 2m-11

Let's plug our value for b into the first equation and solve for m.

m+2m-11=31

Let's combine like terms.

3m-11=31

We add 11 to both sides.

3m=42

We divide both sides by 3.

m=14

Therefore, Maggie is 14 years old.

I hope this helps!