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

Mathematics

2 answers:

love history [14]2 years ago

4 0

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

$S = J - 3 = 14 - 3 = 11$

Natalija [7]2 years ago

3 0

john has 14 steve has 11

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