The LCM of two numbers is 48. The numbers are | vedclass

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

Question

(C) Given that the $LCM$ of two numbers is $48$ and the ratio of the numbers is $2:3$.Let the two numbers be $2x$ and $3x$,where $x$ is a common multi

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) Given that the $LCM$ of two numbers is $48$ and the ratio of the numbers is $2:3$.Let the two numbers be $2x$ and $3x$,where $x$ is a common multiplier.The $LCM$ of $2x$ and $3x$ is $2 	imes 3 	imes x = 6x$.According to the problem,$6x = 48$.Solving for $x$,we get $x = 48 / 6 = 8$.Therefore,the numbers are $2 	imes 8 = 16$ and $3 	imes 8 = 24$.The sum of the numbers is $16 + 24 = 40$.

The $LCM$ of two numbers is $48$. The numbers are in the ratio $2:3$. Find the sum of the numbers.

Similar Questions

The sum of two numbers is $216$ and their $H.C.F.$ is $27$. The numbers are

How many numbers are there from $300$ to $700$ which are divisible by $2, 3,$ and $7$?

$A$ heap of stones can be made up into groups of $21$. When made up into groups of $16, 20, 25$ and $45$,there are $3$ stones left in each case. How many stones at least can there be in the heap?

What is the $H.C.F.$ of $27, 18$ and $36$?

What will be the least number which when doubled will be exactly divisible by $12, 18, 21$ and $30$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module