The sum of two consecutive even number's is 66. find the numbers.
1 answer:
Answer:
![32\ and\ 34.](https://tex.z-dn.net/?f=32%5C%20and%5C%2034.)
Step-by-step explanation:
Let x be the smaller number.
The next even number will be (x + 2).
![x+x+2=66](https://tex.z-dn.net/?f=x%2Bx%2B2%3D66)
![2x+2=66](https://tex.z-dn.net/?f=2x%2B2%3D66)
Subtract 2 from both sides:
![2x+2-2=66-2](https://tex.z-dn.net/?f=2x%2B2-2%3D66-2)
![2x=64](https://tex.z-dn.net/?f=2x%3D64)
Divide both sides by 2:
![\frac{2x}{2}=\frac{64}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B64%7D%7B2%7D)
![x=32](https://tex.z-dn.net/?f=x%3D32)
The smaller number is 32.
Larger number ![=32+2=34](https://tex.z-dn.net/?f=%3D32%2B2%3D34)
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