document.write( "Question 661703: i have a math problem that say \" I am thinking of a number that when multiplied by itself gives me a 3-digit product where the hundreds digit and the ones digit are the same and the tens digit is the sum of the other two digits. what number am i? \n" ); document.write( "

Algebra.Com's Answer #411769 by ReadingBoosters(3246) $\"\"$ $\"About$

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product where
\n" ); document.write( "x = hundreds
\n" ); document.write( "y = tens
\n" ); document.write( "z = ones
\n" ); document.write( "x=z
\n" ); document.write( "y=x+z = z+z=2z
\n" ); document.write( "Substituting into expanded form of a 3 digit number
\n" ); document.write( "100(x) + 10(y) + 1(z) = 3 digit number
\n" ); document.write( "100(z)+10(2z)+z
\n" ); document.write( "100z + 20z + z = 121z
\n" ); document.write( "recognizing that 121 fits the description
\n" ); document.write( "n^2 = 121
\n" ); document.write( "n = 11 \n" ); document.write( "

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