10. The HCF and LCM of two numbers are 24 and 480 respectively. If one
number is 120, find the other number
Answers
We know that, Product of Numbers = Product of their HCF and LCM.
Let the other number be x.
Therefore,
24 × 480 = 120 × x
=> x = 24 × 480/120
=> x = 24 × 4
=> x = 96.
Required number = 96.
The other number is 96 if HCF and LCM of two numbers are 24 and 480 and one number is 120.
Given :
HCF of two numbers = 24
LCM of two numbers = 480
One number = 120
To find: Other number
Formula used :
HCF × LCM = first number × Other number
SOLUTION :
Step1: Substitute the value of HCF, LCM, and other number in the above formula:
One number = 120 , HCF of two numbers = 24 , LCM of two numbers = 480
As we know that,
HCF × LCM = One number × Other number
24 × 480 = 120 × Other number
Other number =
Other number = 24 × 4
Other number = 96
Hence, the other number is 96.
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