Question

Please help with this algebra problem

Answer 1

Number of games they won: W
Number of games they lost: L

They played 60 games:
(1) W+L=60

They won 24 more than they lost:
(2) W=L+24

We have a system ofr 2 equations and 2 unkowns:
(1) W+L=60
(2) W=L+24

Using the method of substitution. Replacing W by L+24 in the first equation:
(1) W+L=60
(L+24)+L=60
L+24+L=60
2L+24=60

Solving for L
2L+24-24=60-24
2L=36

Dividing both sides of the equation by 2:
2L/2=36/2
L=18

Replacing L by 18 in the second equation:
(2) W=L+24
W=18+24
W=42

Answers:
How many games did they win?  42
How many games did they lost?  18