A fraction become 4/5 if one …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Shubham Rai 5 years, 3 months ago
- 2 answers
Gaurav Seth 5 years, 3 months ago
Let the numerator and denominator be x and y respectively.
Fraction = x/y
Case I : A fraction becomes 4/5 if 1 is added to both numerator and denominator.
=> (x + 1)/(y + 1) = 4/5
=> 5(x + 1) = 4(y + 1)
=> 5x + 5 = 4y + 4
=> 5x - 4y = - 1 ______(i)
Case II : 5 is subtracted from both numerator and denominator fractions becomes 1/2.
=> (x - 5)/(y - 5) = 1/2
=> 2(x - 5) = y - 5
=> 2x - 10 = y - 5
=> y = 2x - 5 _____(ii)
Substituting the value of y in equation (i) we get,
=> 5x - 4(2x - 5) = - 1
=> 5x - 8x + 20 = - 1
=> 3x = 21
=> x = 21/3 = 7
Now, In equation (ii),
y = 2 × 7 - 5 = 14 - 5 = 9
Hence,
Fraction = 7/9
Test
Related Questions
Posted by Hari Anand 5 months, 1 week ago
- 0 answers
Posted by Kanika . 6 days, 3 hours ago
- 1 answers
Posted by Parinith Gowda Ms 2 months, 2 weeks ago
- 1 answers
Posted by Vanshika Bhatnagar 1 year, 3 months ago
- 2 answers
Posted by Sahil Sahil 1 year, 3 months ago
- 2 answers
Posted by Parinith Gowda Ms 2 months, 2 weeks ago
- 0 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Ayush Singh 5 years, 3 months ago
0Thank You