The sum of two constructive integers is no more than 209.

what is the larger of the two integers?

yo

x = first integer

x+1 = integer right after x

For example, if x = 10, then the next one after that is x+1 = 10+1 = 11. So 10 and 11 are consecutive integers (one follows right after the other)

The sum of those two integers x and x+1 add to x+x+1 = 2x+1

This sum is no more than 209, therefore,

Therefore the largest x can be is 104

If x = 104, then x+1 = 104+1 = 105

Note how 104+105 = 209, which helps confirm the answer

a

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