The denominator of a certain fraction exceeds twice the numerator by 4. If the numerator is increased by 14 and the denominator is decreased by 9, the value of the resulting fraction is the multiplicative nghịch đảo of 3/7 . What is the fraction.

Lời Giải

T h e d e n o mina t or o f a cer t ain f r a c t i o n e x cee d s tw i ce t h e n u m er a t or b y 4. I f t h e n u m er a t or i s in cre a se d b y 14 an d t h e d e n o mina t or i s d ecre a se d b y 9, t h e v a l u e o f t h e res u lt in g f r a c t i o n i s t h e m u lt i pl i c a t i v e in v erse o f \frac{3}{7} . Wha t i s t h e f r a c t i o n .

The number : \frac{113}{222}

Các bước giải pháp

Represent the numbers with

x

numerator : x

denominator : 2 x + 4

A.T.Q.:

\frac{x + 14}{2 x + 4 - 9} = \frac{3}{7}

Giải

x, \frac{x + 14}{2 x + 4 - 9} = \frac{3}{7} : x = - 113

\frac{x}{2 x + 4} = \frac{- 113}{2 ( - 113 ) + 4} = \frac{113}{222}

The number : \frac{113}{222}