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OleMash [197]
3 years ago
10

Noah has a total of 47 video games. He only buys action and sports games. He has 21 more action games than sport games. How many

action games and how many sports games does he have?
I need 2 equations for this but what are they and how do you solve them?
Mathematics
1 answer:
Zanzabum3 years ago
8 0
A-action games
s-sports games

a+s=47
a=s+21

I replace the action games in the first equation

s+21+s=47
2s+21=47
2s=47 - 21
2s=26
s=26:2
s=13 number of sport games
a=13+21
a=34 number of action games
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Step-by-step explanation:

<em><u>By </u></em><em><u>Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

  • Sum of numbers = 90 .
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<em><u>Let </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

  • First Number be x .
  • Second number be y .

<em><u>According</u></em><em><u> to</u></em><em><u> </u></em><em><u>1</u></em><em><u>s</u></em><em><u>t</u></em><em><u> </u></em><em><u>condition</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies x + y = 90

<u>According</u><u> to</u><u> </u><u>2</u><u>n</u><u>d</u><u> </u><u>condition</u><u> </u><u>:</u><u>-</u><u> </u>

: \implies x - y = 18

<em><u>Adding</u></em><em><u> the</u></em><em><u> </u></em><em><u>equations</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies 2x = 18 + 90

: \implies 2x = 108

: \implies x = 54

<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

: \implies First number = 54

: \implies Second number = 36

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