document.write( "Question 1197015: Katherine is younger than Alexandra. Their ages are consecutive integers. Find
\n" ); document.write( "Katherine's age if the sum of the square of Katherine's age and 5 times Alexandra's
\n" ); document.write( "age is 109. \n" ); document.write( "
Algebra.Com's Answer #830065 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi  \r\n" );
document.write( "Katherine is younger than Alexandra. \r\n" );
document.write( "Their ages are consecutive integers. \r\n" );
document.write( "Let Katherine age be  x and Alexandra's (x+1)\r\n" );
document.write( "the sum of the square of Katherine's age and 5 times Alexandra's\r\n" );
document.write( "age is 109.\r\n" );
document.write( "Find Katherine's age:\r\n" );
document.write( " x^2 + 5(x+1) = 109\r\n" );
document.write( " x^2 + 5x - 104 = 0\r\n" );
document.write( " (x + 13 )(x -  8) = 0   |Note: x = -13, not appropriate for age\r\n" );
document.write( "           x = 8, Katherine's age.\r\n" );
document.write( "checking our work:\r\n" );
document.write( " 8^2 + 5*9 = 64 + 45 = 109  checks.\r\n" );
document.write( "  \r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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