Question is not proper;Proper question is given below;
Noah has a total of 47 video games. he only buys action games and sports games. He has 21 more action games than sports games. how many action games, a, and sports games, s, does he own?
Answer:
Noah has 34 action games and 13 sports games.
Explanation:
Given:
Total number of games he has = 47
Let the number of action games be 'a'.
Let the number of sports game be 's'.
So we can say that;
Total number of games he has is equal to sum of the number of action games and the number of sports games.
framing in equation form we get;
![a+s = 47 \ \ \ \ \ eqaution \ 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/pmhueo7620mzr2ei6g0s66eoymy8buhdvf.png)
Also Given:
He has 21 more action games than sports games.
so we can say that;
![a=s+21 \ \ \ equation\ 2](https://img.qammunity.org/2021/formulas/mathematics/high-school/y5p4p4u1vznb57av5oilo0t8g5ga4gtr6h.png)
Now Substituting equation 2 in equation 1 we get;
![a+s=47\\\\s+21+s=47\\\\2s+21=47](https://img.qammunity.org/2021/formulas/mathematics/high-school/baavrjruvmx4bk0dd5hrevcbjyhz1a69lg.png)
Subtracting both side by 21 we get;
![2s+21-21=47-21\\\\2s = 26](https://img.qammunity.org/2021/formulas/mathematics/high-school/zcnk53xsp0wcjkqxy5mcweedbvuh1tmdj6.png)
Dividing both side by 2 we get;
![(2s)/(2)=(26)/(2)\\\\s=13](https://img.qammunity.org/2021/formulas/mathematics/high-school/v85uhnh1qrly0sraqinl27ffqhkt6b4v9r.png)
Now Substituting the value of 's' in equation 2 we get;
![a=s+21=13+21=34](https://img.qammunity.org/2021/formulas/mathematics/high-school/9yg3b3e5zhc28zjmirrxobx0ixp3j1ytbu.png)
Hence Noah has 34 action games and 13 sports games.