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even integers exceeds twice the least by 38. what are the integers?

2007-09-05 13:29:50 · 5 answers · asked by hana s 1 in Science & Mathematics Mathematics

5 answers

I won't solve it for you, but I'll show you how to do it.

Let the smallest number be 2n (that makes it even).
Then the others are 2n+2 and 2n+4 (because they are consecutive).

The question therefore states that
3(2n+4) = 2*2n + 38

Simply solve for n, from which you can get the numbers (2n, 2n+2, 2n+4).

2007-09-05 13:34:46 · answer #1 · answered by SV 5 · 0 1

So, you have three consecutive, even integers, like 2, 4, and 6. But instead, we'll call them x, x+2, and x+4.

So, we can make an equation for this problem. The greatest integer, x+4, is multiplied by 3. We can write that like this:

3(x+4) =

And that exceeds twice the least (2x) by 38. We can write the rest like this:

3(x+4) = 2x + 38

Now, solve the equation for x, knowing that x is the least integer.

3x + 12 = 2x + 38

x = 26
x+2 = 28
x+4 = 30

And there's your answer! Go ahead and check it:

three times the greatest (30x 3 = 90) exceeds twice the least (2x = 52) by 38.

90-52=38

So, the answer is 26, 28, and 30.

2007-09-05 20:39:11 · answer #2 · answered by Gary 6 · 0 0

3(x+4) = 2x + 38
3x + 12 = 2x + 38
x = 26

So the integers are 26, 28 and 30

2007-09-05 20:36:55 · answer #3 · answered by Becky M 4 · 0 0

3(2x + 4) = 2(2x) + 38
=> 2x = 26
=> x = 13
numbers are 2x, 2x + 2, 2x + 4
or 2(13), 2(13) + 2, 2(13) + 4
26, 28 and 30

2007-09-05 20:38:46 · answer #4 · answered by sv 7 · 0 0

your variables: x, x+2, x+4
your equation: 3(x+4) = 2x + 38

2007-09-05 20:34:21 · answer #5 · answered by Rich 4 · 0 0

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