The LCM of one digit numbers is 72. What are the numbers
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Given, HCF=12, LCM=72
One number =x, Other number =60−x
∴ Product of the two numbers = HCF × LCM
⇒x(60−x)=12×72
⇒x
2
−60x+864=0
⇒x
2
−36x−24x+864=0
⇒x(x−36)−24(x−36)=0
⇒(x−36)(x−24)=0
⇒x=36 or 24
∴ One of the number is 24.
Given, HCF=12, LCM=72
One number =x, Other number =60−x
∴ Product of the two numbers = HCF × LCM
⇒x(60−x)=12×72
⇒x
2
−60x+864=0
⇒x
2
−36x−24x+864=0
⇒x(x−36)−24(x−36)=0
⇒(x−36)(x−24)=0
⇒x=36 or 24
∴ One of the number is 24.
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Answer:
the numers can be 1,2,3,4,6,8,9,14,16,36,72
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