document.write( "Question 359376: It is an even two digit number . One half the number is 5 more than the number of days in a fortnight. the sum of the squares of the two digits is 73. what is it? \n" ); document.write( "

Algebra.Com's Answer #256456 by Edwin McCravy(20062) $\"\"$ $\"About$

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document.write( "Let t = the tens digit\r\n" );
document.write( "Let u = the units digit\r\n" );
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document.write( "The number = 10t + u\r\n" );
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\n" ); document.write( ">>...One half the number is 5 more than the number of days in a fortnight...<<
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document.write( "One half the number = (10t + u) = 5t + u\r\n" );
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document.write( "The number of days in a fortnight = 14\r\n" );
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document.write( "5 more than the number o days in a fortnight = 14+5 = 19\r\n" );
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document.write( "So\r\n" );
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document.write( "5t + u = 19\r\n" );
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document.write( "Multiplying through by 2 to clear of fractions:\r\n" );
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document.write( "10t + u = 38\r\n" );
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document.write( "We can stop right here because 10t + u IS the number,\r\n" );
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document.write( "so it's 38.\r\n" );
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\n" ); document.write( ">>...the sum of the squares of the two digits is 73...<<
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document.write( "We didn't need to be given that, but we can check if we\r\n" );
document.write( "like:\r\n" );
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document.write( "3² + 8² = 9 + 64 = 73.\r\n" );
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document.write( "Yes that's right, but we didn't need to be given that.  \r\n" );
document.write( "We also didn't need to be given that it was even.\r\n" );
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document.write( "Answer: 38\r\n" );
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document.write( "Edwin

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