Question

LCM of two numbers is 12 and HCF is 2 . if first number is 6 find the other number

Answer 1

Answer :–

• The other number = 4.

Given :–

• Least common multiple (L.C.M.) = 12.
• Highest common factor (H.C.F.) = 2.
• The first number = 6.

To Find :–

• The other number.

Solution :–

Let,

The other number be x.

We know that,

Eq. (1) → L.C.M. × H.C.F. = First number × Other number

Here the given values are,

• L.C.M. = 12.
• H.C.F. = 2.
• The first number = 6.

$\longmapsto 12 \times 2 = 6 \times x$

$\longmapsto 24 = 6x$

$\longmapsto\dfrac{ \cancel{24}}{ \cancel6} = x$

Cut it by 2,

$\longmapsto\dfrac{ \cancel{12}}{ \cancel3} = x$

Now, cut it by 3,

$\longmapsto\dfrac{4}{1} = x$

$\longmapsto x = 4$

Hence,

The other number is 4.

Check :–

Values are,

• L.C.M. = 12.
• H.C.F. = 2.
• The first number = 6.
• The other number = 4.

Now, substitute all the values in equ. (1),

$\longmapsto 12 \times 2 = 6 \times 4$

$\longmapsto24 = 24$

Since, the L.H.S. and the R.H.S. are equal.

So, the value of the other number = 4 is correct.

Answer 2

Answer:

ok

Step-by-step explanation:

the other no =4

hope it helps you