Three numbers are in the ratio frac{1}{2}: fr | vedclass

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

Question

(D) The given ratio of the three numbers is $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$.To simplify the ratio,multiply each term by the least common multi

Vedclass · Accepted Answer

$72, 96, 108$

Vedclass · Answer

(D) The given ratio of the three numbers is $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$.To simplify the ratio,multiply each term by the least common multiple $(LCM)$ of the denominators $(2, 3, 4)$,which is $12$.Ratio $= (\frac{1}{2} 	imes 12) : (\frac{2}{3} 	imes 12) : (\frac{3}{4} 	imes 12) = 6: 8: 9$.Let the numbers be $6x, 8x,$ and $9x$.The greatest number is $9x$ and the smallest number is $6x$.According to the problem,the difference between the greatest and smallest numbers is $36$:$9x - 6x = 36$$3x = 36$$x = 12$.Substituting the value of $x$ back into the expressions:First number $= 6 	imes 12 = 72$.Second number $= 8 	imes 12 = 96$.Third number $= 9 	imes 12 = 108$.Therefore,the numbers are $72, 96, 108$.

Three numbers are in the ratio $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$. The difference between the greatest and the smallest numbers is $36$. The numbers are:

Similar Questions

The prices of a scooter and a television set are in the ratio of $3:2$. If a scooter costs ₹ $600$ more than the television set,then the price of the television set is (in ₹):

When $30$ percent of one number is subtracted from another number,the second number reduces to its four-fifth. What is the ratio between the first and the second number respectively?

In a bag,there are coins of $25 p$,$10 p$,and $5 p$ in the ratio of $2:3:4$. If there is $Rs. 50$ in all,how many $5 p$ coins are there?

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

The salaries of $A, B, C$ are in the ratio $2: 3: 5$. If increments of $15\%, 10\%,$ and $20\%$ are allowed respectively in their salaries,then what will be the new ratio of their salaries?

Vedclass Test Series

Exam Paper Generator

Online Exam Module