If you take a number, times by 5 then add 7. You get the same as if you took the number, times by 9 then add 3. What is the number?

Mathematics · College · Tue Nov 03 2020

Answered on

Given the statement:

You take a number, times by 5 then add 7. You get the same as if you took the number, times by 9 then add 3.

Determine the number.

Solution:

The given condition can be equated as,

5x + 7 = 9x + 3

In order to determine the number, we start first by transposing 5x and 3 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.

5x + 7 = 9x + 3

7 - 3 = 9x - 5x

4 = 4x

Divide both sides by 4 in order to determine the value of x.

4x/4 = 4/4

x = 1

Final answer:

x =1