the h c f of two numbers is 5 and their l c m is 60 if one number is 15 find the other
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GIVEN :
HCF = 5, LCM = 60 and One number is 15.
FIND :
We have to find the other number.
SOLUTION :
• Let other number be M.
We know that..
Product of two zeros = One number × Other number.
So,
One number × Other number = LCM × HCF _______ (eq 1)
Put the known values in (eq 1)
=> 15 × M = 60 × 5
=> 15M = 300
=> M = 20
_____________________________
(Other number)
___________ [ ANSWER ]
_____________________________
☆ VERIFICATION :
From above calculations we have M = 20
Put value of M in (eq 1)
=> 15 × 20 = 60 × 5
=> 300 = 300
L.H.S. = R.H.S.
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