document.write( "Question 8734: The sum of two integers is thirty. Eight times the smaller integer is six more than five times the larger integer. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #4810 by gsmani_iyer(201) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " First of all you must form equations. Now, \r
\n" ); document.write( "\n" ); document.write( " Let the smaller integer = x and
\n" ); document.write( " Let the greater integer = y\r
\n" ); document.write( "\n" ); document.write( " x + y = 30 ...............(1) Given. The sum of the integers\r
\n" ); document.write( "\n" ); document.write( " 8x = 5y + 6 or } Given. 8 times the smaller integer is
\n" ); document.write( " 8x - 5y = 6 ...............(2)} bigger by 6 than 5 times the greater
\n" ); document.write( " } integer.
\n" ); document.write( " (1) * 5, we get,
\n" ); document.write( " 5x + 5y = 150 .............(3)
\n" ); document.write( " By adding Eq.(2) and (3),
\n" ); document.write( " 13x = 156
\n" ); document.write( " So x = 156/13 = 12
\n" ); document.write( " By replacing this value of x in Eq.(1), we get
\n" ); document.write( " 12 + y = 30
\n" ); document.write( " So y = 30 - 12 = 18\r
\n" ); document.write( "\n" ); document.write( " So, 12 and 18 are the integers. Answer.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " I hope this is clear to you and solve such problems yourself.\r
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\n" ); document.write( "\n" ); document.write( " gsm\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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