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

Guest Sep 28, 2022

#1**+1 **

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!

Guest Sep 29, 2022