Question

The HCF and LCM of two numbers are 23 and 322. If one of the numbers is 161, what is the other

Answer 1

other number is 46
by the formula HCF×LCM= FIRST NUMBER ×SECOND NUMBER

Answer 2

Given:

HCF of two numbers is 23 and LCM is 322. Also, one of the numbers is 161.

To find:

The other number.

Solution:

The other number is 46.

To answer this question, we will follow the following steps:

As we know that the product of two numbers a and b is equal to the multiplication of their LCM and HCF.

This means,

$a \times b = HCF \times LCM$

Now,

as given, we have,

HCF of two numbers = 23

LCM of two numbers = 322

One number = 161

Let the other number be x.

So,

$161 \times x = 23 \times 322$

$x = \frac{23 \times 322}{161}$

$= 23 \times 2$

$= 46$

Hence, the other number is 46.