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John has three more marbles than Steve. If they have 25 marbles, how many marbles does each have?

User Sophi
by
5.4k points

2 Answers

0 votes

john has 14 steve has 11

User Pavel Bucek
by
5.1k points
1 vote

Let J be the number of marbles owned by John, and S the number of marbles owned by Steve.

John has three more marbles than Steve, so
J = S + 3 \iff J - S = 3

They have 25 marbles, so
J+S = 25

So, we have the following system:


\begin{cases} J - S = 3\\J + S = 25\end{cases}

Add the two equations side by side:


(J - S) + (J + S) = 3 + 25 \iff 2J = 28 \iff J = 14

Since John has three more marbles, we have


S = J - 3 = 14 - 3 = 11

User Sheldon Griffin
by
5.6k points
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