# Maths

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

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1. 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

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2. help me in math trish

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3. 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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