wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Numerator of a fraction is 1 more than the denominator. If 2 is added both to the Numerator and denominator, the fraction obtained is 54. Find the fraction.


A

45

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

32

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

49

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

27

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

32


Let the denominator be x.

Numerator is one more than the denominator.

So, Numerator = x + 1

The fraction =x+1x

If 2 is added both to the Numerator and the denominator the fraction becomes 54.

Original fraction =x+1x

Adding 2 to Numerator and denominator,

x+1+2x+2=x+3x+2=54 givenx+3x+2=54

Cross multiply.

4(x + 3) = 5(x + 2)

4x + 12 = 5x + 10

12 - 10 = 5x - 4x

2 = x

The fraction is x+1x

2+12=32


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving Linear Equations Using Transpose of Terms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon