Question

The sum of two numbers is twice their difference. The larger number is 6 more than twice the smaller. How do you find the numbers?

Answer 1

a = 18
b = 6

Explanation:

a = larger number
b = smaller number

`a+b=2(a-b)`
`a=2b+6`

`a+b=2a-2b`
`b+2b=2a-a`
`3b=a`
`3b=2b+6`
`3b-2b=6`
`b=6`

`a=2xx6+6`
`a=18`