The denominator of a fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6, the denominator becomes 12 times the numerator. Determine the fraction.

princetonaqo3

princetonaqo3

Answered question

2022-10-27

The denominator of a fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6, the denominator becomes 12 times the numerator. Determine the fraction.
Let the numerator be 𝑥 and the denominator be 𝑦
Therefore, Fraction = x 4 + 2 x
Because, both the numerator and denominator are decreased by 6
Therefore, the new fraction becomes 𝑥 6 ( 4 + 2 𝑥 ) 6 = 12 𝑥

Answer & Explanation

canhaulatlt

canhaulatlt

Beginner2022-10-28Added 17 answers

Using your notation you have:
y = 2 x + 4
And the next condition reads:
12 ( x 6 ) = y 6
Because if the denominator is 12 times the numerator that means that your fraction is equal to 1 12
So from this system of equations you can get the values of x and y.
x = 7 y = 18
Yazmin Sims

Yazmin Sims

Beginner2022-10-29Added 1 answers

let the numerator be x and let the denominator be y... in the first part of the question it is said that, x/2x+4(*is plus). In second part of the question it is said that : x-6/(2x+4)-6. Now finally at the last part of the question it is said that:
2x-2=12x[x-6]
2x-2=12x-72
2x-12x= -72+2
-10x=-70
x=7
in first part of the question we saw that, y=2x+4...now substitute the value of x in that you get 2.7+4=18...therefore the required fraction is 7/18

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?