At the start 'she' has x cars and 'he' has x
cars.
If 'she' has x cars then she has x-72 cars when she
gives them to 'him'.
Now 'he' has three times as many cars
as 'she', so he has 3(x-72) cars.
But since they both had x
cars to begin with, this must be equal to x+72 after 'she' has given him 72
cars.
So now we have an
equation
3(x-72)=x+72
Distribute
3x-216=x+72
2x=216+72
subtract x from both sides, and add 216 to both
sides
2x=288 divide both sides by
two
x=144 So they started out with 144
cars
So they both had 144 cars this means they started out
with 288 cars.
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