Question

The LCM and HCF of two numbers are 360 and 30. If the sum of the numbers is 210, their difference is
40
30
35
34​

Answer 1

Answer:

30

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Answer 2

Their difference is 30

Given : The LCM and HCF of two numbers are 360 and 30. The sum of the numbers is 210.

To find : Their difference.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate their difference)

Now, we know that :

Product of two numbers = Their HCF × Their LCM

So, the product of the given two numbers :

= HCF × LCM

= 360 × 30

= 10800

Let, the two numbers = a and b

So,

ab = 10800

a+b = 210

Now,

= (a+b)² - 4ab

= (210)² - (4 × 10800)

= 900

And,

= (a+b)² - 4ab

= a²+2ab+b²-4ab

= a-2ab+b²

= (a-b)²

So,

(a-b)² = 900

a-b = 30

Hence, their difference is 30