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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