write three examples for finding sum
of two consecutive even number
Answers
Answer:
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Step-by-step explanation:
THE X=42 X+2=44...........
x+x+2=86
2x+2=86
2x=86-2
2x=84
x=84/2
x=42........
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x1 = first even integer
x2 = second even integer
x3 = third even integer
Since you know they're both consecutive and even, you know that:
x2 = x1 + 2
x3 = x2 + 2
This is because there's always a difference of 2 between consecutive even integers. Take a look at these examples:
6, 8, 10
102, 104, 106
514, 516, 518
No matter what the even integers are, as long as they're consecutive, they're spaced out by 2 each.
You know that the sum of your even integers adds up to 114, so:
x1 + x2 + x3 = 114
But since x3 = x2 + 2
x1 + x2 + (x2 + 2) = 114
And since x2 = x1 + 2
x1 + (x1 + 2) + ((x1 + 2) + 2) = 114
So your final equation will be:
x1 + x1 + 2 + x1 +2 + 2 = 114
3x1 + 6 = 114
3x1 = 108
x1 = 36
x2 = x1 + 2
x2 = 36 + 2 = 38
x3 = x2 + 2
x3 = 38 + 2 = 40
So your consecutive even integers are:
36, 38, and 40
If you add these all together you get:
36 + 38 + 40 = 114. So you know you did it correctly
Answer:
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Step-by-step explanation:
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