Question

the reciprocal of hcf and lcm are 1/2 and 1/144 respectively.if one number is 36, find the other number​

Answer 1

Answer:

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Answer 2

Given,

The reciprocal of hcf and lcm are 1/2 and 1/144 respectively. One of the numbers is 36.

To Find,

The other number =?

Solution,

We can find the other number as follows:

It is given that the reciprocal of the HCF and LCM of two numbers are 1/2 and 1/144. One of the numbers is 36. We have to find the other number. Let the other number be equal to x.

Now,

$Reciprocal\: of\: HCF = \frac{1}{2}$

$The\: HCF\: will\: be = 2$

$Reciprocal\: of\: LCM = \frac{1}{144}$

$The\: LCM\: will\: be = 144$

Now, we know that the product of two numbers is equal to the product of their HCF and LCM.

Therefore,

$36*x = 144*2$

$36*x = 288$

$x = \frac{288}{36}$

$x = 8$

Hence, the other number is 8.