document.write( "Question 956569: Find a 2 digit number less than 50 using these clues. It can be divided by 4 exactly. When 4 is added to it, it can be divided by 5 exactly? \n" ); document.write( "

Algebra.Com's Answer #584401 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
It's a multiple of $\"+4+\"$ , so I can call
\n" ); document.write( "it $\"+4n+\"$ where $\"+n+%3C=+12+\"$
\n" ); document.write( "If $\"+n+=+13+\"$ , then $\"+4%2A13+=+52+\"$
\n" ); document.write( "which is too much
\n" ); document.write( "--------------------
\n" ); document.write( "I am told:
\n" ); document.write( " $\"+%28+4n+%2B+4+%29+%2F+5+\"$ is a whole number
\n" ); document.write( "Call the whole number $\"+k+\"$
\n" ); document.write( " $\"+4%2A%28+n+%2B+1+%29+%2F+5+=+k+\"$
\n" ); document.write( " $\"+n+%2B+1+=+%28+5%2F4+%29%2Ak+\"$
\n" ); document.write( " $\"+n+=+%285%2F4%29%2Ak+-+1+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "From above, I can say:
\n" ); document.write( " $\"+%285%2F4%29%2Ak+-+1+%3C=12+\"$
\n" ); document.write( " $\"+%285%2F4%29%2Ak+%3C=+13+\"$
\n" ); document.write( " $\"+k+%3C=+%284%2F5%29%2A13+\"$
\n" ); document.write( " $\"+k+%3C=+52%2F5+\"$
\n" ); document.write( " $\"+k+%3C=+10+\"$
\n" ); document.write( "-------------
\n" ); document.write( " $\"+k+=+8+\"$ gives me a whole number for $\"+n+\"$
\n" ); document.write( " $\"+n+=+%285%2F4%29%2Ak+-+1+\"$
\n" ); document.write( " $\"+n+=+%285%2F4%29%2A8+-+1+\"$
\n" ); document.write( " $\"+n+=+9+\"$
\n" ); document.write( " $\"+4n+=+36+\"$
\n" ); document.write( "The number is 36
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+36%2F4+=+9+\"$
\n" ); document.write( "OK
\n" ); document.write( " $\"+%28+36+%2B+4+%29+%2F+5+=+40%2F5+\"$
\n" ); document.write( " $\"+40%2F5+=+8+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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