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Two numbers have these properties. * Both numbers are greater than 6 * Their highest common factor (HCF) is 6 * Their lowest common multiple
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Two numbers have these properties. * Both numbers are greater than 6 * Their highest common factor (HCF) is 6 * Their lowest common multiple (LCM) IS 60 Find the two numbers
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Mathematics
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2021-09-05T08:26:46+00:00
2021-09-05T08:26:46+00:00 1 Answers
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Answer:
The two numbers are 12 and 30
Step-by-step explanation:
It is given that both the numbers are greater than 6
Let the two numbers be X and Y
As we know
X * Y = LCM * HCF
XY = 360
Let us list down some combinations of X and Y and test above conditions
There can be following pairs
a) 6,60
b) 18,20
c) 24,15
d) 12,30
LCM of the two numbers is 60 and both the numbers are greater than 6
So only 12, 30 satisfy the set condition.