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3 years ago

The sum of four consecutive odd integers is 216.find the four integer.

Mathematics

2 answers:

Alexus [3.1K]3 years ago

4 0

The four consecutive odd integers are x, x+2, x+4, x+6
x+x+2+x+4+x+6=216
4x+12=216
4x=204
x=51
they are 51, 53, 55, 57

Anuta_ua [19.1K]3 years ago

3 0

So what you want to say is 216/4, to find 1/4 of 216. 216 / 4 = 54

So you know that therefore, since 1/4 + 1/4 + 1/4 + 1/4 = 1, 54 + 54 + 54 + 54 must equal 216.

So basically what you can say is,

x - 3 + x - 1 + x + 1 + x + 3 = 216

This would make them consecutive odd integers, but since the addition and subtractions cancel out, it would still make it equivalent.

Or basically:

(54 - 3) + (54 - 1) + (54 + 1) + (54 + 3) = 216

51 + 53 + 55 + 57

Those four integers would add up to 216, and would therefore be the four consecutive odd integers.

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