Problema Solution

Find three consecutive odd integers such that 7 times the sum of the first and the third is 120 less than 10 times the opposite of the second.

Answer provided by our tutors

Find three consecutive odd integers such that 7 times the sum of the first and the third is 120 less than 10 times the opposite of the second.

 

x - 1st

x +2- 2nd

x +4- 3rd

 

7(x + x + 4 ) = 10(-x -2) -120

14x + 28 = -10x -20 -120

14x + 10x = -140 - 28

24x = 168

x = 168/24

x = 7

answers: 7, 9, 11