Question

the LCM of two numbers is 225 and their HCF is 45. if one number is 25, then the other number will be
a) 5
b) 25
c) 45
d) 225
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Answer 1

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Given, LCM = 225

HCF = 45

Let the numbers be "a" and "b"

Thus, "a" = 25

"b" = b

We know that products of two numbers (say a and b) = HCF × LCM of those numbers

Therefore, 25 × b = 45 × 225

25b = 10125

b = 10125/25

b = 405

Hence, the required number is 405.

Answer 2

Answer:

Given:

HCF = 45

LCM = 225

a (one of the numbers) = 25

b (the other number) = ?

To find: b = ?

Solution:

We know that HCF (a,b) × LCM (a,b) = a × b.

So,

45 × 225 = 25 × b

10125 = 25 × b

10125/25 = b

Therefore, b = 405.