# How do you solve integers?

There is no such thing as "solving integers". You can solve an equation, which means finding all the unknowns in that equation, but you can't solve an integer.

### What are three consecutive even integers whose sum is 32?

That isn't possible; three consecutive integers, or three consecutive positive integers, always have a sum that is a multiple of 3. In general, you can solve this quickly by trial and error. In this case, you will quickly find that a certain set of three consecutive integers will give you a sum that is TOO LOW, while the next-higher even integers will give you a sum that is TOO HIGH. You can also write an…

### How would you find four consecutive even integers whose sum is four?

You can do this by trial-and-error. Or, give the lowest of the four consecutive integers a name, like "x". The three other integers will then be "x+2", "x+4", and "x+6". So, you have to solve the equation: x + (x + 2) + (x + 4) + (x + 6) = 4 The answer is the lowest of the four consecutive even integers. You can do this by trial-and-error. Or, give the lowest of the…

### What are two consecutive integers whose sum is 45?

Two consecutive integers means one is 1 more than the other integer. You can solve the problem by letting x represesnt one of the integers and x + 1 the next integer. Set up the equation and solve: x + (x + 1) = 45 (next simplify) 2x + 1 = 45 (next subtract 1 from each side of the equation) 2x = 44 (next divide both sides of the equation by 2 to solve…