Q4. If the HCF and LCM of two numbers are 7 and 15 respectively. If one of the numbers is 21, find the other number. method)
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THE OTHER NUMBER IS 5 .
THIS IS CORRECT METHOD
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Given : HCF and LCM of two numbers are 7 and 15 respectively.
one of the numbers is 21,
To find : the other number.
Solution:
Product of LCM and HCF of two numbers = product of two numbers
let say other numbers is b
HCF ( 21 , b) = 7
LCM (21 , b) = 15
HCF (21 , b) * LCM (21 , b) = 21 * b
=> 7 * 15 = 21 * b
=> 7 * 3 * 5 = 21 * b
=> 21 * 5 = 21 * b
=> 5 = b
Hence other number is 5
But Data is incorrect
as HCF is always a factor of LCM
but 7 is not a factor of 15.
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