document.write( "Question 984995: find the smallest whole number which when divided by 6 gives a remainder of 1 and when divided by 11 gives a remainder of 6. \n" ); document.write( "

Algebra.Com's Answer #605839 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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find the smallest whole number which when divided by 6 gives a remainder of 1
\n" ); document.write( " and when divided by 11 gives a remainder of 6.
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\n" ); document.write( "One way is to make list of the numbers as follow
\n" ); document.write( "Write the multiples of 6 plus 1; first one 24+1 = 25, 30+1 = 31 etc
\n" ); document.write( "25 + 31 + 37 + 43 + 49 + 55 + 61 + 67 + 73
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\n" ); document.write( "Write the multiples of 11 plus 6; ie 22+6 = 28, 33+6 = 39 etc
\n" ); document.write( "28, 39, 50, 61, 72, 83, 94
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\n" ); document.write( "Look for the first number that occurs in both lists
\n" ); document.write( "61 is our number \n" ); document.write( "

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