Question 516300
The denominator of a fraction is 3 more than its numerator.If the numerator is increased by 2 and the denominator is increased by 3 the resulting fraction is 3/5. Find the original fraction.
Let x = numerator
then
x+3 = denominator
.
(x+2)/(x+3+3) = 3/5
(x+2)/(x+6) = 3/5
cross-multiply:
5(x+2) = 3(x+6)
5x+10 = 3x+18
2x+10 = 18
2x = 8
x = 4 (numerator)
.
denominator:
x+3 = 4+3 = 7
.
answer: 4/7