Question Write and solve an inequality for the sum of 2 consecutive integers greater than 73. Solve the inequality and find the pair with the least sum.
$\text{Let } x \text{ be the first integer and } x+1 \text{ be the second integer.}$ $x + (x+1) > 73$ $2x + 1 > 73$ $2x > 72$ $x > 36$ The pair of integers with the least sum is 37 and 38.

Studdy Solution
The smallest pair of consecutive integers whose sum is greater than 73 is 37 and 38.
The inequality is $n > 36$ and the smallest pair of integers with the least sum that satisfies this inequality is (37, 38).

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