Question

Question #e47bf

Answer 1

The first number is -14 and the second number is -8.

Explanation:

Let a be the first number.
Let b be the second number.

We have two equations from the question:
`a = b - 6` (1st number = 6 less than 2nd number)

`2b = 4a + 40` (twice the 2nd number is 40 more than 4 times the 1st)
In this equation here, let's make b by itself:
`b = 2a + 20` (divided 2 on both sides of the equation)

So our 2 equations are:
`a = b - 6` and
`b = 2a + 20`

Let's plug in the value of b into the 1st equation so that we can solve for a:
`a = (2a + 20) - 6`
`a = 2a + 14`
`-a = 14`
`a = -14`

Now that we have the value of a, we can find b.
`-14 = b - 6`
`-8 = b`
`b = -8`

Now, we should check our answer by plugging the numbers into the other equation and seeing if both sides of the equation are equal:
`-8 = 2(-14) + 20`
`-8 = -28 + 20`
`-8 = -8` :)

The first number is -14 and the second number is -8.

Answer 2

The two numbers are `-8 and -14`

Explanation:

Given that: One number is 6 less than a second number.

Let the second number be `x`.

So, the first number will be `x-6`.

Twice the second number is 40 more than 4 times the first.
Means:

`2xxx=40+4xx(x-6)`

`=> 2x = 40 + 4x -24`

Take the terms with variable `x` on left hand side of equation and remaining on right hand side:

`=>2x - 4x = 40- 24`

`=> -2x = 16`

`x = -8`
So the second number is `-8`
and
the first number is `x-6 = -8-6=-14`

`therefore` The two numbers are `-8 and -14`