Q1.The HCF of two numbers is 9 and their LCM is 36. If one of numbers is 12. Find the other?
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Explanation:
Given
HCF of two numbers is 9 and their LCM is 36.
One number is given which is 12.
To Find
We have to find the other number
Since, HCF and LCM is given & also one number is given.
Learning the concept:
This concept said that the product of HCF and LCM of two natural numbers must be equal to the product of the given number.
Now, HCF = 9 & LCM = 36 ; one number = 12
Since,we don't know the second number so,let the other number be 'x'
=>9*36= 12*x
=>324= 12x
=>x= 324÷12
=>x= 27
Therefore,the other number is 27.
Check:
=> HCF *LCM = product of two numbers
=> 9*36= 27*12
=>324=324
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