If frac{5a+3b}{2a-3b} = frac{23}{5},then the | vedclass

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

Question

(D) Given equation: $\frac{5a+3b}{2a-3b} = \frac{23}{5}$Divide the numerator and denominator of the left side by $b$:$\frac{5(a/b) + 3}{2(a/b) - 3} =

Vedclass · Accepted Answer

$4:1$

Vedclass · Answer

(D) Given equation: $\frac{5a+3b}{2a-3b} = \frac{23}{5}$Divide the numerator and denominator of the left side by $b$:$\frac{5(a/b) + 3}{2(a/b) - 3} = \frac{23}{5}$Let $\frac{a}{b} = x$. Substituting this into the equation:$\frac{5x + 3}{2x - 3} = \frac{23}{5}$Cross-multiply to solve for $x$:$5(5x + 3) = 23(2x - 3)$$25x + 15 = 46x - 69$Rearrange the terms:$69 + 15 = 46x - 25x$$84 = 21x$$x = \frac{84}{21} = 4$Since $x = \frac{a}{b} = 4$,the ratio $a:b$ is $4:1$.

If $\frac{5a+3b}{2a-3b} = \frac{23}{5}$,then the value of $a:b$ is:

Similar Questions

The fourth proportional to $5, 8, 15$ is

If $0.75 : x :: 5 : 8,$ then $x$ is equal to

How many one-rupee coins,$50$-paise coins,and $25$-paise coins,whose numbers are in the ratio $5:7:12$,are together worth $₹ 115$?

The ratio of the incomes of $A, B$ and $C$ is $3: 7: 4$ and the ratio of their expenditures is $4: 3: 5$. If in the income of $Rs. 2400$, $A$ saves $Rs. 300$, then the savings of $B$ and $C$ respectively are:

Two numbers are in the ratio $3: 5$. If $9$ is subtracted from each,the new numbers are in the ratio $12: 23$. The smaller number is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module