Question 698838
The denominator of a proper fraction is 1 less than twice the numerator.
 The difference between the digits of the numerator and denominator is 3.
 Find the fraction and its reciprocal.
:
Since it is a proper fraction we know that d > n
An equation for each statement
:
d = 2n - 1
and
d - n = 3
d = (n+3)
Replace d in the 1st equation
n + 3 = 2n - 1
3 + 1 = 2n - n
n = 4
then
d = 4 + 3
d = 7
:
{{{4/7}}} is the fraction and the reciprocal: {{{7/4}}}