Question

Question #6b965

Answer 1

The two numbers are either -36 and -15
Or they are 15 and 36.

Explanation:

Let the smaller number be `x` and let the larger number be `y`.

By putting the words into equations, we get
`xy=540`
and
`y=x+21`

Use substitution to substitute the second equation into the first:
`x(x+21)=540`

`x^2 +21x-540=0`

Use the quadratic formula:
`x=frac{-21 +- sqrt(21^2 - 4(-540))}{2}`

`x=frac{-21+-51}{2}`

`x=-36, 15`

`y=-15,36`