Question

The sum of two numbers is 2 times their difference. The larger number is 6 more than twice the smaller. How do you find the numbers?

Answer 1

It is `(a,b)=(18,6)`

Explanation:

Let `a` be the largest number
and `b` the smallest number.

Hence we have that

`a+b=2(a-b)=>a+b=2a-2b=>a=3b`

and

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

and `a=18`