LCM of the given two number is double the greater number and the difference between small number and GCF is 4 therefor the smaller number is
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Step-by-step explanation:
Given that L.C.M of the given two no is double the greater number.
Let the no. be x and y
According to the question
L.C.M = 2x
y - G.C.F = 4
G.C.F = ( y - 4 )
Hence,
x × y = L.C.M. × G.C.F.
xy = 2x × ( y - 4 )
xy = 2xy - 8x
xy - 2xy = ( - 8x )
- xy = -8x
y = 8
Hence, the smaller no is 8.
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