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matthew lives 7 km closer to the school than Berthe. They live a total of 31 km from school. how far does each live from the school

 Sep 28, 2022
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Let the distance between matthew and the school be \(x\)

Then, the distance between Berthe and the school is 7 km more than that of matthew; so: \(x+7\) is the distance between Berthe and the school.

"They live a total of 31 km from school"
So, the sum of the distances we wrote above is 31:

\(x+(x+7)=31 \\ \iff 2x+7=31\\ \iff 2x=24\\ x=12\)


So, mathew lives 12 km far, and Berthe lives (12+7)=19 km far.

I hope this helps!

 Sep 29, 2022

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