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

Question

asked Apr 15, 2023 218k views

1 Answer

Markus Jarderot · Answer 1 · 2023-04-19T06:58:28+0000

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

2. the difference between 29 and twice the number

We can represent this as

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

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.