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 $HCF$ and $LCM$ of two numbers are $36$ and $756$ respectively. Find the possible pair of numbers.

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

Three electronic devices make a beep after every $48\, seconds$,$72\, seconds$,and $108\, seconds$ respectively. They beeped together at $10:00\, a.m.$ The time when they will next make a beep together at the earliest is:

If the sum of two numbers is $55$ and the $HCF$ and $LCM$ of these numbers are $5$ and $120$ respectively,then the sum of the reciprocals of the numbers is equal to

The $H.C.F.$ and $L.C.M.$ of two numbers are $44$ and $264,$ respectively. If the first number is divided by $2,$ the quotient is $44.$ The other number is

Vedclass Test Series

Exam Paper Generator

Online Exam Module