Find two consequtive even integers such that the smaller added to two times the larger gives a sum of 40.
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OpenStudy (anonymous):
40divded by 2 is 20
40 is the sum so dived by 2
20 is 2 time larger than the integers so is 10
OpenStudy (anonymous):
so what are the two numberd than?
OpenStudy (nikato):
Let your integer be x
Your next consecutive even integer is x+2
And it says the smaller added to twice the larger =40
So
x+2(x+2)=40
Does this setup make sense?
OpenStudy (anonymous):
yes
OpenStudy (nikato):
Your next step would be to distribute the 2(x+2).
What would your equation look like now?
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OpenStudy (anonymous):
2x+4
OpenStudy (nikato):
Yes.so now
x+2x+4=40
Combine like terms and solve for x now. Can you solve for x?
OpenStudy (anonymous):
12?
OpenStudy (anonymous):
i got 12 and 28 but it says its wrong
OpenStudy (nikato):
Yes. x=12.
And with this, you should be able to find the two consecutive even integer that you were suppose to find
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