The H.C.F. of two numbers is 12 and their dif | vedclass

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

Question

(D) Let the two numbers be $12x$ and $12y$,where $x$ and $y$ are coprime integers and $x < y$.Since the $H.C.F.$ is $12$,both numbers must be multiple

Vedclass · Accepted Answer

$84, 96$

Vedclass · Answer

(D) Let the two numbers be $12x$ and $12y$,where $x$ and $y$ are coprime integers and $x Since the $H.C.F.$ is $12$,both numbers must be multiples of $12$.The difference between the numbers is given as $12y - 12x = 12$,which simplifies to $y - x = 1$.This means the numbers are consecutive multiples of $12$.Checking the options:For $84$ and $96$: $H.C.F.(84, 96) = 12$ and $96 - 84 = 12$.Thus,the numbers are $84$ and $96$.

The $H.C.F.$ of two numbers is $12$ and their difference is $12$. The numbers are:

Similar Questions

The number of prime factors in the expression $(6)^{10} \times (7)^{17} \times (11)^{27}$ is

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

Find the smallest whole number which is exactly divisible by $6, 8, 15, 18$ and $24$.

The $HCF$ of two numbers is $23$ and the other two factors of their $LCM$ are $13$ and $14.$ Then the larger of the two numbers is

There are five bells which start ringing together at intervals of $3, 6, 9, 12$ and $15$ seconds respectively. In $36$ minutes,how many times will the bells ring simultaneously?

Vedclass Test Series

Exam Paper Generator

Online Exam Module