The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased by 2, the fraction becomes 3/4. What is the original fraction?

Which of the following systems of equations can be used to solve the problem?

Question

The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased by 2, the fraction becomes 3/4. What is the original fraction?

Which of the following systems of equations can be used to solve the problem?

anonymous · Answer

Solve the following equations for x an y:$$\left\{\frac{x}{y}=\frac{2}{3},\frac{x+2}{y+2}=\frac{3}{4}\right\} $$

anonymous · Answer

I don't know how to do fractions

anonymous · Answer

If from the first equation, $$x=\frac{2 y}{3} $$Replace x in the second equation with 2y/3 and then solve for y.  Can you proceed from this point?

anonymous · Answer

yes, thanks :)