document.write( "Question 984444: The sum of two numbers is 37 if the larger is divided by the smaller the quotient is 3 and the remainder is 5 find the numbers. \n" ); document.write( "

Algebra.Com's Answer #605418 by Theo(13342) $\"\"$ $\"About$

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lat a be the larger number and b be the smaller number.
\n" ); document.write( "a + b = 37
\n" ); document.write( "a/b = 3 with a remainder of 5.
\n" ); document.write( "3 with a remainder of 5 is the same as 3 + 5/b.
\n" ); document.write( "so you get:
\n" ); document.write( "a + b = 37
\n" ); document.write( "a/b = 3 + 5/b
\n" ); document.write( "multiply both sides of a/b = 3 + 5/b by b to get:
\n" ); document.write( "a = 3b + 5
\n" ); document.write( "replace a in the equation of a + b = 37 with 3b + 5 to get:
\n" ); document.write( "3b + 5 + b = 37
\n" ); document.write( "simplify to get:
\n" ); document.write( "4b + 5 = 37
\n" ); document.write( "subtract 5 from both sides to get:
\n" ); document.write( "4b = 32
\n" ); document.write( "divide both sides by 4 to get:
\n" ); document.write( "b = 8
\n" ); document.write( "since a + b = 37, this means that a must be equal to 29 because 29 + 8 = 37.
\n" ); document.write( "your bigger number is 29 and your smaller number is 8.
\n" ); document.write( "a/b becomes 29/8 which becomes 3 with a remainder of 5.
\n" ); document.write( "your solution is:
\n" ); document.write( "the larger number is 29 and the smaller number is 8.\r
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