The sum of two consecutive integers is at least 52. what is the least possible pair of integers?
a) 27 and 28
b) 25 and 26
c) 24 and 25
d) 26 and 27

Let's take the smallest pair: 24 and 25: together they make 49, 3 numbers away from the goal.

Since this means we need to increase both by more than 1 (so by 2): so they need to be 26 and 27 (answer D): their sum is 53.

it can't be less than this since both numbers get decreased so the sum of 25 and 26 is 51, which is too little.

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