Question

The sum of two consecutive integers is at least 36. What is the least possible pair of integers? A. 16 and 17 B. 17 and 18 C. 18 and 19 D. 19 and 20

Answer 1

If you would like to know the least possible pair of integers, you can find this using the following steps:

integer ... n
the sum of two consecutive integers ... n + (n+1) = n + n + 1 = 2 * n + 1
is at least 36 ... >= 36

n + (n+1) >= 36
2 * n + 1 >= 36
2 * n >= 36 - 1
2 * n >= 35 /2
n >= 35/2
n >= 17.5

n = 18: 18 + (18+1) = 18 + 19 = 37 >= 36

The correct result would be C. 18 and 19.