document.write( "Question 890460: The number 77 is divided into two parts such that H.C.F of two parts is 11 and their L.C.M is 110. The smaller of the two parts is \n" ); document.write( "

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The number 77 is divided into two parts such that H.C.F of two parts is 11 and their L.C.M is 110. The smaller of the two parts is
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document.write( "Let smaller number be S
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document.write( "Then larger number = 77 – S
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document.write( "The product of the GCF and the LCM is 1,210 (11 * 110)
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document.write( "Since the product of the GCF and LCM of ANY 2 numbers, equals the product of the 2 numbers, then we can say that:
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document.write( "1,210 = S(77 - S), or S(77 – S) = 1,210
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document.write( "(S – 22)(S – 55) = 0
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document.write( "S, or smaller number = 		     OR		     S = 55 (ignore, as this CANNOT be smaller #)
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