If you double a number and then add 36, you get four elevenths of the original number. What is the original number? Please help
Mathematics · College · Tue Nov 03 2020
Answered on
Given the statement:
If you double a number and then add 36, you get four elevenths of the original number
Determine the original number.
Solution:
The given statement can be expressed in a numerical expression.
Double a number and then add 36, you get four elevenths of the original number.
2x + 36 = 4/11x
We can find the value of the number by solving for x. Start first by transposing 36 and 4/11x on their opposite sides. Note that when transposing a number, the sign changes.
2x - 4/11x = -36
2 can be written as 22/11 in order to subtract the two fractions easily.
22/11x - 4/11x = -36
18/11x= -36
Multiply both sides by 11 in order to cancel 18/11
(11)(18/11x) = -36(11)
198x = -396
Divide both sides by 198 in order to get the value of x.
198x/198 = -396/198
x = -2
Final answer:
The original number is -2.