document.write( "Question 1021064: One number is 5 more than another. The difference between their squares is 95. What are their numbers ? \n" ); document.write( "
Algebra.Com's Answer #636845 by ankor@dixie-net.com(22740)\"\" \"About 
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Two numbers, a & b
\n" ); document.write( "write an equation for each statement
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\n" ); document.write( "One number is 5 more than another.
\n" ); document.write( "a - b = 5
\n" ); document.write( "a = (b+5)
\n" ); document.write( " The difference between their squares is 95.
\n" ); document.write( "a^2 - b^2 = 95
\n" ); document.write( "Replace a with (b+5)
\n" ); document.write( "(b+5)^2 - b^2 = 95
\n" ); document.write( "FOIL (b+5)(b+5)
\n" ); document.write( "b^2 + 5b + 5b + 25 - b^2 = 95
\n" ); document.write( "Combine like terms
\n" ); document.write( "10b + 25 = 95
\n" ); document.write( "10b = 95 - 25
\n" ); document.write( "10b = 70
\n" ); document.write( "b = 70/10
\n" ); document.write( "b = 7
\n" ); document.write( ":
\n" ); document.write( "I'll let you find a, check your solution in both statements\r
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\n" ); document.write( "\n" ); document.write( " What are their numbers ? \n" ); document.write( "
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