Question

Two consecutive positive numbers have a sum of 27. What are the two numbers?

The smaller number is The larger number is k _________________ _________________

Answer 1

The smaller number is 13. The larger number is 14. (k?)

Explanation:

If you add all the 2 consecutive integers up:

1+2=3

2+3=5

3+4=7

4+5=9

5+6=11

6+7=13

7+8=15

8+9=17

9+10=19

10+11=21

11+12=23

12+13=25

13+14=27

14+15=29

Only 13 & 14 add up to 27. Of course you don't have to do this and just find consecutive integers whose one's place is 3 and 4

Answer 2

k=14

Explanation:

z+1=k

z+k=27

z=k-1

k-1+k=27

2k=28

k=14