document.write( "Question 1195807: The number 35 has the property that when its digits are both increased by 2, and then multiplied, the result is 5 times 7=35, equal to the original number.
\n" ); document.write( "Find the sum of all two-digit number such that when you increase both digits by 2, and then multiply these numbers, the product is equal to the original number. \n" ); document.write( "
Algebra.Com's Answer #828351 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The number 35 has the property that when its digits are both increased by 2, and then multiplied, the result is 5 times 7=35, equal to the original number.
\n" ); document.write( "Find the sum of all two-digit number such that when you increase both digits by 2, and then multiply these numbers, the product is equal to the original number.
\n" ); document.write( ":
\n" ); document.write( "Two digits y & x, the number 10y+x
\n" ); document.write( "(y+2) * (x+2) = 10y + x
\n" ); document.write( "xy + 2y + 2x + 4 = 10y + x
\n" ); document.write( "rewrite this and combine
\n" ); document.write( "10y - 2y + x - 2x - xy = 4
\n" ); document.write( "8y - x - xy = 4
\n" ); document.write( "8y - xy = x + 4
\n" ); document.write( "y(8-x) = x + 4
\n" ); document.write( "y = \"%28x%2B4%29%2F%288-x%29\"
\n" ); document.write( "In your graphing calc table, the only single digit integers:
\n" ); document.write( " x y
\n" ); document.write( "2 | 1, which is: 4*3=12
\n" ); document.write( "4 | 2, 6*4=24
\n" ); document.write( "5 | 3, 7*5=35
\n" ); document.write( "6 | 5, 8*7=56
\n" ); document.write( ":
\n" ); document.write( "The sum of all these two digit numbers
\n" ); document.write( "12 + 24 + 35 + 56 = 127
\n" ); document.write( " \n" ); document.write( "
\n" );