Posted by **Jannie** on Saturday, November 13, 2010 at 4:32pm.

When the numerator and denominator of a fraction are each increased by 5, the

value of the fraction becomes 3/5

When the numerator and denominator of that same

fraction are each decreased by 5, the fraction is then 1/5

Find the original fraction.

(Hint: Let the fraction be p/q) Write in simultaneous equations

- Maths -
**Reiny**, Saturday, November 13, 2010 at 5:03pm
first equation:

(p+5)/(q+5) = 3/5 or

5p + 25 = 3q + 15

5p - 3q = -10

second equation:

(p-5)/(q-5) = 1/5 or

5p - 25 = q - 5

5p - q = 20

solve the two equations by adding them

- Maths -
**lilly**, Thursday, January 26, 2012 at 7:08pm
help me in math trish

- Maths -
**Anonymous**, Friday, November 7, 2014 at 11:31am
The denominator of a rational number is greater than the numerator by 4. If the numerator is increased by 2 and the denominator is decreased by 1, the number becomes 7/8. Find the original rational number.

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