Question

15) The sum of three consecutive odd integers is 17
less than four times the smallest integer. Use an
equation to find the largest integer.

Answer 1

The largest integer is 27

Solution:

Let the three consecutive odd integers be: n , n + 2 , n + 4

Smallest integer = n

The sum of three consecutive odd integers is 17  less than four times the smallest integer

Which means,

sum of three consecutive odd integers = four times the smallest integer - 17

$n + n + 2 + n + 4 = 4n - 17\\\\3n + 6 = 4n - 17\\\\4n - 3n = 6 + 17\\\\n = 23$

Find the largest integer

Largest integer = n + 4 = 23 + 4 = 27

Thus the largest integer is 27