If two numbers are in the ratio 2:3 and the r | vedclass

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

Question

(B) Let the two numbers be $2x$ and $3x$.According to the problem,when $8$ is added to both numbers,the ratio becomes $3:4$.So,$\frac{2x + 8}{3x + 8}

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(B) Let the two numbers be $2x$ and $3x$.According to the problem,when $8$ is added to both numbers,the ratio becomes $3:4$.So,$\frac{2x + 8}{3x + 8} = \frac{3}{4}$.Cross-multiplying,we get $4(2x + 8) = 3(3x + 8)$.$8x + 32 = 9x + 24$.$32 - 24 = 9x - 8x$.$x = 8$.The two numbers are $2x = 2(8) = 16$ and $3x = 3(8) = 24$.The sum of the two numbers is $16 + 24 = 40$.

If two numbers are in the ratio $2:3$ and the ratio becomes $3:4$ when $8$ is added to both the numbers,then the sum of the two numbers is

Similar Questions

Find the triplicate ratio of $7:5$.

What will be the inverse ratio of $17: 19$?

If $P: Q: R = 2: 3: 4,$ then find $\frac{P}{Q}: \frac{Q}{R}: \frac{R}{P} ?$

$A$ certain sum of money was divided between $A$,$B$,and $C$ in the ratio $5: 6: 9$. If $A$ received ₹ $450$,what was the total sum divided?

Find the compound ratio of $2:7$,$5:3$,and $4:7$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module