Question

9. The sum of two consecutive integers is 29. What are the integers?

Answer 1

x and x+1 are the integers

x(x+1)=29+x+(x+1)

x^2+x=29+2x+1

x^2+x=30+2x

x^2+x-2x-30=0

x^2-x-30=0

factor

(x-6)(x+5)=0

x-6=0

x=6 and x+1=7

6*7=29+6+7

42=29+13

42=42

Answer 2

14.15

Explanation:

x+x+1=29

2x=28

x=14

x+1=15