Question

 If you add​ Natalie's age and​ Fred's age, the result is 36. If you add​ Fred's age to 3 times​ Natalie's age, the result is 60. Write and solve a system of equations to find how old Fred and Natalie are.

Answer 1

Let Fred's age be y. Add​ Fred's age to 3 times​ Natalie's age, the result is.....

Answer 2

@XioGonz

Answer 3

@supie

Answer 4

x=Fred y=Natalie

x+y=37

x+3y=63

2y+37=63

2y=63−37

2y=26

y=13

Now we know natalies age
x+y=37

x+13=37

x=37−13

x=24

And that is Fred's age

So there you go

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @XioGonz
x=Fred y=Natalie
But they need to add to 36 not 37

x+y=37

x+3y=63

2y+37=63

2y=63−37

2y=26

y=13

Now we know natalies age
x+y=37

x+13=37

x=37−13

x=24

And that is Fred's age

So there you go
\(\color{#0cbb34}{\text{End of Quote}}\)