The numerator of a fraction is 4 less than th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the numerator be $x$ and the denominator be $y$. The fraction is $\frac{x}{y}$.According to the first condition,the numerator is $4$ less than

Vedclass · Accepted Answer

$3/7$

Vedclass · Answer

(B) Let the numerator be $x$ and the denominator be $y$. The fraction is $\frac{x}{y}$.According to the first condition,the numerator is $4$ less than the denominator: $x = y - 4$,which implies $y = x + 4$.According to the second condition,if the numerator is decreased by $2$ and the denominator is increased by $1$,the denominator becomes eight times the numerator: $(y + 1) = 8(x - 2)$.Substitute $y = x + 4$ into the second equation: $(x + 4 + 1) = 8(x - 2)$.$x + 5 = 8x - 16$.$5 + 16 = 8x - x$.$21 = 7x$,so $x = 3$.Now,find $y$: $y = x + 4 = 3 + 4 = 7$.The fraction is $\frac{3}{7}$.

The numerator of a fraction is $4$ less than the denominator. If the numerator is decreased by $2$ and the denominator is increased by $1,$ then the denominator becomes eight times the numerator. Find the fraction.

Similar Questions

The two-digit number whose digit at the unit's place is $x$ and the digit at the ten's place is $y$ is three times the sum of its digits. This statement is written as $\ldots \ldots \ldots \ldots .$

Solve the following pairs of equations by the cross-multiplication method:
$x - 3y = -5$
$3x = 7y - 13$

Determine,algebraically,the vertices of the triangle formed by the lines $5x - y = 5$,$x + 2y = 1$,and $6x + y = 17$.

For a pair of equations $9x - 4y = 14$ and $7x - 3y = 11$,find the value of $y$.

Which of the following is a solution of the linear equation in two variables $x - 2y = 4$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module