Problema Solution
The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are increased by ten, the simplified result is 16/29. Find the original fraction.
Answer provided by our tutors
x = numerator
y = denominator
y = 2x + 4
(x + 10)/(y + 10) = (16/29)
=> (x + 10)/((2x + 4) + 10) = 16/29
(x + 10)/(2x + 14) = 16/29
x + 10 = (32x + 224)/29
29x + 290 = 32x + 224
3x = 66
x = 22
y = 2(22) + 4 = 48