On the weekend Jack played $6$ more games than Joe did, and together they played $12$ games. Which of the following number of games Joe played?

3

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4

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5

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Solution

The correct option is A $3$
Let Joe played $x$ games.
Accordingly Jack played $x + 6$ games.
Given that together they played $12$ games.
$\Rightarrow x + x + 6 = 12 \Rightarrow 2 x + 6 = 12$
On checking through the given options
We put $x = 3 \Rightarrow 2 \times 3 + 6 = 12$
We put $x = 5 \Rightarrow 2 \times 5 + 6 = 16 \neq 12$
We put $x = 4 \Rightarrow 2 \times 4 + 6 = 14 \neq 12$
$∴$ Joe played total $3$ games.

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On the weekend Jack played 6 more games than Joe did, and together they played 12 games. Which of the following number of games Joe played?

The correct option is A 3Let Joe played x games. Accordingly Jack played x+6 games. Given that together they played 12 games. ⇒x+x+6=12⇒2x+6=12 On checking through the given options We put x=3⇒2×3+6=12 We put x=5⇒2×5+6=16≠12 We put x=4⇒2×4+6=14≠12 ∴ Joe played total 3 games.

On the weekend Jack played $6$ more games than Joe did, and together they played $12$ games. Which of the following number of games Joe played?