Question

Using the statements below, find out the value of x.
i) The L.C.M of x and 18 is 36.
ii) The H.C.F of x and 18 is 2.

• A. 4

Answer 1

The correct option is A 4
If a and b are two numbers then,

Product of a and b = Product of L.C.M. of a and b and H.C.F. of a and b.
$\Rightarrow a\times b=LCM\times HCF$

$\text{Now, the L.C.M of}x\text{and 18 is 36}\text{and the H.C.F of}x\text{and 18 is 2.}$

$\text{Here,}a=x,b=18,LCM=36\text{and}HCF=2.$

$\Rightarrow x\times 18=36\times 2\Rightarrow x\times 18=72\Rightarrow x=\frac{72}{18}\Rightarrow x=4$

$\therefore \text{The value of}x\text{is 4.}$