A fraction x/y becomes 1/2 when 1 is added to its numerator, and becomes 1/3 when 1 is added to its denominator. This gives 2(x+1) = y, i.e. 2x - y = -2, and 3x = y + 1, i.e. 3x - y = 1. Using elimination, find the numerator x.

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3. Subtract (2x - y = -2) from (3x - y = 1): x = 3. Then y = 2x + 2 = 8, so the fraction is 3/8. Check: 4/8 = 1/2 and 3/9 = 1/3.

A fraction $\frac{x}{y}$ becomes $\frac{1}{2}$ when 1 is added to its numerator, and becomes $\frac{1}{3}$ when 1 is added to its denominator. This gives $2 (x + 1) = y$ , i.e. $2 x - y = - 2$ , and $3 x = y + 1$ , i.e. $3 x - y = 1$ .
Using elimination, find the numerator $x$ .

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More Class 10 Elimination Method practice

A fraction yx​ becomes 21​ when 1 is added to its numerator, and becomes 31​ when 1 is added to its denominator. This gives 2(x+1)=y, i.e. 2x−y=−2, and 3x=y+1, i.e. 3x−y=1.Using elimination, find the numerator x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Elimination Method practice

A fraction $\frac{x}{y}$ becomes $\frac{1}{2}$ when 1 is added to its numerator, and becomes $\frac{1}{3}$ when 1 is added to its denominator. This gives $2 (x + 1) = y$ , i.e. $2 x - y = - 2$ , and $3 x = y + 1$ , i.e. $3 x - y = 1$ .
Using elimination, find the numerator $x$ .