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We are told two things about the numbers we're looking for. Let's call them A and B. First we're told that they're consecutive, or:

B = A + 1

We're also told that they have a sum of 535:

B + A = 535

We can then take one of those equations, and substitute it for one of the variables in the other equation. We know that B is equal to A + 1, so we can plug that into the second equation:

(A + 1) + A = 535

2A + 1 = 535

2A = 534

A = 267

Now we can take that value of A, and find B by plugging it back into the first equation:

B = A + 1

B = 267 + 1

B = 268

So the two consecutive numbers that add up to 535 are 267 and 268.

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13y ago
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Q: Which 2 consecutive numbers add up to 535?
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