The sum of two numbers is 37 . The larger number is 13 more than the smaller number. What are the numbers?

Question

Answer 

Answer 1

using algebra...

x and x+13 are the numbers

x+x+13=37

2x+13=37

2x=37-13

2x=24

x=24/2

x=12

x+13=25

12 and 25 are the numbers

using arithmetic...

37/2=18.5

18 and 19 no

17 and 20 no

16 and 21 no

15 and 22 no

14 and 23 no

13 and 24 no

12 and 25 yes