Asked by hamza
When 5 is added to both the numerator and denominator of a fraction the result becomes 1/2.When 1 is subtracted from both the numerator and denominator the fraction becomes 1/5.Find the fraction. plzz do whole method, i cant understand it.
Answers
Answered by
Reiny
original fraction: x/y
case1 (x+5)/(y+5) = 1/2
2x + 10 = y+5
2x - y = -5 **
case2 (x-1)/(y-1) = 1/5
5x - 5 = y - 1
5x - y = 4 ***
subtract ** from ***
3x = 9
x = 3, then from ** 6 - y = -5 , y = 11
the original fraction was 3/11
check: (3+5)/(11+5) = 8/16 = 1/2, check!
(3-1)/(11-1) = 2/10 = 1/5, check!
My answer is correct
case1 (x+5)/(y+5) = 1/2
2x + 10 = y+5
2x - y = -5 **
case2 (x-1)/(y-1) = 1/5
5x - 5 = y - 1
5x - y = 4 ***
subtract ** from ***
3x = 9
x = 3, then from ** 6 - y = -5 , y = 11
the original fraction was 3/11
check: (3+5)/(11+5) = 8/16 = 1/2, check!
(3-1)/(11-1) = 2/10 = 1/5, check!
My answer is correct
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.