document.write( "Question 2316: The sum of two numbers is 100. Five times the smaller number is eight more than the larger. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #945 by gsmani_iyer(201) $\"\"$ $\"About$

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Let the smaller number = x\r
\n" ); document.write( "\n" ); document.write( "Let the bigger number = y\r
\n" ); document.write( "\n" ); document.write( "Now, we will make equations. \r
\n" ); document.write( "\n" ); document.write( " x + y = 100 ..... (Sum of the numbers)\r
\n" ); document.write( "\n" ); document.write( " 5x - y = 8 (Five times the smaller no. is 8 more than the bigger no.)\r
\n" ); document.write( "\n" ); document.write( " By adding the above equations, we get\r
\n" ); document.write( "\n" ); document.write( " 6x = 108\r
\n" ); document.write( "\n" ); document.write( "So x = $\"108%2F6\"$ = 18\r
\n" ); document.write( "\n" ); document.write( " By substituting the value of x in the first equation, we get\r
\n" ); document.write( "\n" ); document.write( " 18 + y = 100\r
\n" ); document.write( "\n" ); document.write( " So y = 100-18 = 82\r
\n" ); document.write( "\n" ); document.write( "So the smaller No. = 18
\n" ); document.write( " the bigger No. = 82 Ans.\r
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