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LC.M. of the given two numbers is double the greater number. And the difference
between smaller number and G.C.F. is 4. Therefore the smaller number is
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Answer:
Step-by-step explanation:
Let x and y be the two numbers with x > y.
Given,
LCM = 2x.
y - GCF = 4
=> GCF = y - 4.
We know that product of two numbers = LCM * GCF.
=> x * y = 2x * (y - 4)
=> xy = 2xy - 8x
=> xy = 8x
=> y = 8.
Thus the smaller number is 8.
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