163k views
4 votes
find five consecutive odd integers if the sum of the first three integers is 7 more than the sum of the last 2

User Imari
by
7.9k points

2 Answers

2 votes

Answer:

15, 17, 19, 21, 23

Explanation:

If you add the first three it is 7 more than the last 2

User SlugFiller
by
8.4k points
1 vote

Answer:

  • 15, 17, 19, 21, 23

--------------------------------------

Let the five integers be x, x + 2, x + 4, x + 6, x + 8.

The sum of the first three integers is 7 more than the sum of the last two. Set up equation and solve for x:

  • x + x + 2 + x + 4 = 7 + x + 6 + x + 8
  • 3x + 6 = 2x + 21
  • x = 21 - 6
  • x = 15

Hence the integers are:

  • 15, 17, 19, 21, 23
User CounterFlame
by
7.8k points