Question

the sum of the numerator and denominator of a fraction is 3 less than twice the denominator. if the numerator and denominator decreased by , the number become half the denominator . determine the fraction

Answer 1

$<b>Answer:-[4/7]<b>$

$\sf \star EXPLANATION \\ \\ \implies\star$

[ Let the fraction be x/y

According to the question,

x + y + 3 = 2y

x = y - 3  ------(1)

Also, x-1/y-1 = y/2y = 1/2

x - 1 = (y-1) / 2

x = [ (y - 1) / 2 ] +1

x = (y +1) / 2

2x = y + 1

2x - y = 1 ------ (2)

Solving the both Equation;

2 ( y - 3 ) - y =1

2y - 6 -y = 1

y - 6 = 1

y = 7

x = y - 3

x = 7 - 3

x = 4]

$\bold{ \large{ \fbox{ \: \implies{conclusion \binom{.}{.} }}}}$

$\bold{\large{\fbox{\star{ANSWER:- Fraction=)x/y=)4/7}}}}$

Thanks!!

Answer 2

I hope this helps....