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The ratio of the two numbers is 3:4 and their LCM is 480. Find their HCF.
  • a)
    30
  • b)
    40
  • c)
    160
  • d)
    120
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio of the two numbers is3:4and their LCM is480. Find their HCF....
Given:
The ratio of the two numbers is 3:4.
Their LCM is 480.
Product of two numbers = HCF × LCM
Let the numbers be 3x and 4x.
Here x is the HCF of the two numbers.
Now,
3x × 4x = 480 × x
⇒ 12x= 480x
⇒ x = 40
∴ Their HCF is 40.
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The ratio of the two numbers is3:4and their LCM is480. Find their HCF.a)30b)40c)160d)120Correct answer is option 'B'. Can you explain this answer?
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