Question

Seventeen more than four times a number is equal to the difference between 29 and twice the number. Find the number.

Answer 1

We know that seventeen more than four times a number is equal to the difference between 29 and twice the number and we need to find the number.

To find the number we can use expressions

1. seventeen more than four times a number

We can represent this as

`17+4x`

2. the difference between 29 and twice the number

We can represent this as

`29-2x`

Now, since seventeen more than four times a number is equal to the difference between 29 and twice the number we can equal the two expressions

`17+4x=29-2x`

Where, x represents the number we need to find

Finally, we must solve the equation for x

`\begin{gathered} 17+4x=29-2x \\ 4x+2x=29-17 \\ 6x=12 \\ x=(12)/(6) \\ x=2 \end{gathered}`

Then, the number is 2

ANSWER:

The number is 2.