word problems

Question

The sum of two numbers is
62
. The larger number is
10
more than the smaller number. What are the numbers

Answer 1

Here's an arithmetic solution.

62/2=31

31+31=62

31-5 and 31+5

26 and 36

Answer 2

Let y be the larger number, and 

x be the smaller number

then 

y = 10+x

and

x + (x+10) =62

2x + 10 = 62

2x = 52

x = 26

y = 36