document.write( "Question 1005246: One number is 5 bigger than another number. When one third of the smaller number is added to half the bigger number the answer is 10. Find the smaller number
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Algebra.Com's Answer #621609 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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One number is 5 bigger than another number.
\n" ); document.write( " When one third of the smaller number is added to half the bigger number the answer is 10.
\n" ); document.write( " Find the smaller number
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\n" ); document.write( "Two numbers, a & b, b is the smaller
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\n" ); document.write( "a = b + 5
\n" ); document.write( "and
\n" ); document.write( " $\"1%2F3\"$ b + $\"1%2F2\"$ a = 10
\n" ); document.write( "multiply equation by the least common multiple of the denominators, 6
\n" ); document.write( "6* $\"1%2F3\"$ b + 6* $\"1%2F2\"$ a = 6(10)
\n" ); document.write( "Cancel the denominators
\n" ); document.write( "2b + 3a = 60
\n" ); document.write( "We know a = b+5
\n" ); document.write( "2b + 3(b+5) = 60
\n" ); document.write( "2b + 3b + 15 = 60
\n" ); document.write( "5b = 60 - 15
\n" ); document.write( "5b = 45
\n" ); document.write( "b = 45/5
\n" ); document.write( "b = 9 is the smaller number
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\n" ); document.write( "a = 9 + 5 = 14
\n" ); document.write( "Confirm this in the statement,\"When one third of the smaller number is added to half the bigger number the answer is 10.\"
\n" ); document.write( " $\"1%2F3\"$ *9 + $\"1%2F2\"$ *14 = 10
\n" ); document.write( " 3 + 7 = 10 \n" ); document.write( "

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