Question

The difference of two numbers is 3. Their quotient is 2. What are the two numbers?

Answer 1

The two numbers are 3 and 6.

Explanation:

Let one number be a and the other be b.

We're given:

• 
  `a-b=3`
• 
  `(a)/(b)=2`

Isolate a in the second equation and solve for b:

`(a)/(b)=2\\\\a=2b`

`a-b=3\\2b-b=3\\b=3`

Therefore, the second number is 3.

`a-3=3\\a=6`

Therefore, the first number is 6.