L.C.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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Step-by-step explanation:
Let a and b, a>b be the two numbers
GIVEN
LCM = 2a
b - GCF = 4 ⇒ GCF = b-4
CALCULATION
We know that
LCM x GCF = a x b
⇒ 2a x (b-4) = a x b
⇒ 2a x (b- 4) - ab = 0
⇒ a x [2(b-4) - b] = 0
Since a cannot be zero
⇒ 2(b-4)-b = 0
⇒ 2b - 8 - b = 0
⇒ b = 8
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