CBSE Class 10 Answered
find a fraction which is doubled when 2 is added to both numerators and Denominators and tripled when 8 is added to denominator and numerator.Find the Fraction
Asked by Shubham Verlekar | 09 Jul, 2013, 08:41: PM
Expert Answer
Let numerator be equal to x and denominator be equal to y.
Then, x/y would represent the fraction.
So, (x+2)/(y+2) = 2x/y
xy + 2y = 2xy + 4x
2y = xy + 4x (1)
Also, (x+8)/(y+8) = 3x/y
xy + 8y = 3xy + 24x
8y = 2xy + 24x
4y = xy + 12x (2)
Subtracting 1 and 2.
2y = 8x
y = 4x
Substituting this back in 1
2(4x) = x(4x) + 4x
8x = 4x^2 + 4x
4x = 4x^2
x = 1 or x = 0
Since, x can't be equal to 0, so x =1
y = 4(1) = 4
So, fraction= 1/4.
Answered by | 09 Jul, 2013, 11:00: PM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by laxman44verma | 01 May, 2024, 09:46: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by aditikaldate7 | 21 Apr, 2024, 03:16: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by muttenenimalleswarrao | 29 Mar, 2024, 08:32: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by suvarnam458 | 23 Feb, 2024, 06:18: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by jhajuhi19 | 01 Feb, 2024, 08:43: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by imalakondarayudu1 | 30 Jan, 2024, 06:43: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sbalmeeri | 29 Jan, 2024, 07:19: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by am.mansi628 | 29 Nov, 2023, 05:38: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by jaanooru | 13 Oct, 2023, 10:23: PM
ANSWERED BY EXPERT