The sum of the numeratorr and denominator of a fraction is 24. if we subtract 4 frm numerator and 5 from its denominator then it reduces to 1/4. determine the given fraction by substitution method.
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Let us assume, x and y are the numerator and denominator of a fraction x/y
Given:
x + y = 24 ----------------1
Also given:
x – 4 / y – 5 = 1/4
4 (x – 4) = y – 5
4x – 16 = y – 5
4x – y = 11 ---------------2
Multiply eqn 1 by 4
4x + 4y = 96 ----------------3
Subtract eqn 2 from eqn 3
5y = 85
y = 17
Therefore, x = 24 – y = 24 – 17 = 7
The fraction is x/y = 7/17Similar questions