When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is || ADRE 1.0 SLRC 2022 PAPER-III SOLVED QUESTIONS

When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is:

(A) 3 

(B) 4

(C) 5 

(D) 6








Solution:


Given: 

When the numerator of a fraction increases by 3, the fraction increases by three-fourths of itself.


Let the fraction be x/y, where x is the numerator and y is the denominator.


The new fraction after increasing the numerator by 3 is:


(x+3)/y


According to the problem:


(x+3)/y= x/y + 3/4* x/y


or, (x+3)/y = x/y+3x/4y

or, (x+3)/y= (4x+3x)/4y

or, (x+3)/y= 7x/4y

4y(x+3)= 7xy

or, 4xy+12y= 7xy

or, 12y=3xy

or, x = 4



Thus, the numerator of the fraction is (B) 4.  



Why this problem is important?

  • Tests basic algebra and fraction concepts.
  • Crucial for competitive exams like ADRE.
  • Previously asked in ADRE's SLRC-2022 Paper III for Grade-III Posts.
  • Enhances quick and accurate problem-solving skills.

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