Math, asked by shrtikaushd7s3oumya, 1 year ago

the hcf of two numbers is 23 and their lcm is 1449. if one of the numbers is 161

Answers

Answered by MADHANSCTS
450
Given,
One of the two number is 161.
HCF of two number = 23
LCM of two number = 1449
Let second number = M
HCF × LCM = 161 × M
M = 23 × 1449 / 161
M = 207
Answered by PoojaBurra
8

Given,

The hcf of two numbers is 23 and their lcm is 1449.

To Find,

If one of the numbers is 161 find the other.

Solution,

We can solve the question as follows:

It is given that the HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, we have to find the other number.

HCF = 23

LCM = 1449

One\: of\: the\: numbers = 161

We know that the product of two numbers is equal to the product of the HCF and LCM of the two numbers.

Let a and b be two numbers. Then,

a*b = HCF(a,b)*LCM(a,b)

To find the other number, we substitute the given values in the above formula,

161*b = 23*1449

b = \frac{23*1449}{161}

b = \frac{33327}{161}

b = 207

Hence, the other number is equal to 207.

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