Question

what is the value of x? the lcm of x and 18 is 36.the hcf of x and 18 is 2.​

Answer 1

Answer:

If lcm of "x" and 18 is 36 and the hcf of a and 18 is 2, then value of "x" is 4

Solution:

We have been given that the lcm of "x" and 18 is 36 and the hcf of x and 18 is 2.

We need to find the value of a.

The relation between L.C.M and H.C.F

product of two numbers= LCM*HCF

Therefore, the we can substitute the known values in the formula to get the values of "x"

x*18= 36*2

a= 72/18

a= 4

Answer 2

AnswEr:-

Given:-

• LCM of x and 18 = 36.

• HCF of x and 18 = 2.

To Find:-

• The value of x.

Concepts Used:-

$\tt\small{\longrightarrow H.C.F. \times L.C.M. = Product\:\:Of\:\:Two\:\:Numbers..}$

▪︎ So here LCM of x and 18 is 36.

And,

▪︎ HCF of x and 18 is 2.

$\tt\therefore36 \times 2 = x \times 18. \\ \\ \tt\mapsto72 = 18x \\ \\ \tt\mapsto18x = 72. \\ \\ \tt\mapsto x = \frac{\cancel{72}}{\cancel{18}} . \\ \\ \tt\mapsto x = 4.$

$\therefore$ The required value of x is 4.

VerificAtion:-

$\tt\longrightarrow4 = 2 \times 2. \\ \\ \tt\longrightarrow18 = 2 \times 3 \times 3$

$\therefore \tt L.C.M. = 2\times2\times3\times3 = 36. \\ \\ \tt And\: H.C.F. = 2.$

Hence Verified.