Question

24. DESS SENSE-MAKING Two times the least of three consecutive odd integers exceeds

three times the greatest by 15. What are the integers?
Solve each equation. Check your solution.
- 12 12

Answer 1

-27, -25, -23

Explanation:

Let the three consecutive odd integers be:

First integer = a

Second integer = a + 2

Third integer = a + 4

Two times the least integer = 15 + three times the greatest

2a = 3(a + 4) + 15

2a = 3a + 12 + 15

2a - 3a = 27

a = -27

So the first integer is -27, the second integer is -25 and the third integer is -23.