Question

The sum of two positive integers is 18 and their difference is 2. What is the larger number?​

Answer 1

10

Explanation:

we call the numbers x and y

then from the given data:

x+y=18

x-y=2

we add both sides of both equations

x+y+x-y=20

2x=20

x=10

we use the first equation:

10+y=18

then y=8

the larger number is x=10