The L.C.M of given two number is double of the greater number.The difference between smaller number and G.C.F is 4. Find the smaller number
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Answer:
smaller number is 8
Step-by-step explanation:
Let greater number be A and smaller number be B
LCM = 2A
B - GCF = 4 --------> (1)
LCM x GCF = A x B
2A x GCF = A x B
2GCF = B
GCF = B / 2 ---------> (2)
sub (2) in (1)
B - (B/2) = 4
2B - B = 8
B = 8
smaller number B = 8
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