document.write( "Question 811694: The sum of two numbers is 145. When the smaller number is decreased by two and the larger number is increased by 1, their ratio will be 2:7. What are the numbers. \n" ); document.write( "
Algebra.Com's Answer #488997 by ankor@dixie-net.com(22740)\"\" \"About 
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Two number a & b
\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "The sum of two numbers is 145.
\n" ); document.write( "a + b = 145, (a is the larger number)
\n" ); document.write( "a = (145-b)
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\n" ); document.write( " When the smaller number is decreased by two and the larger number is increased by 1,
\n" ); document.write( " their ratio will be 2:7.
\n" ); document.write( "\"%28%28b-2%29%29%2F%28%28a%2B1%29%29\" = \"2%2F7\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "7(b-2) = 2(a+1)
\n" ); document.write( "7b - 14 = 2a + 2
\n" ); document.write( "7b = 2a + 2 + 14
\n" ); document.write( "7b = 2a + 16
\n" ); document.write( "Replace a with (145-b)
\n" ); document.write( "7b = 2(145-b) + 16
\n" ); document.write( "7b = 290 - 2b + 16
\n" ); document.write( "7b + 2b = 306
\n" ); document.write( "9b = 306
\n" ); document.write( "b = 306/9
\n" ); document.write( "b = 34
\n" ); document.write( "then
\n" ); document.write( "a = 145 - 34
\n" ); document.write( "a = 111
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\n" ); document.write( "See if that works out
\n" ); document.write( "\"%28%2834-2%29%29%2F%28%28111%2B1%29%29\" =
\n" ); document.write( "\"32%2F112\" reduces to \"2%2F7\"\r
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