document.write( "Question 1035569: a two digit number is obtained by multiplying the sum of the digits by 8.also it is obtained by multiplying the difference of the digits by 14 and adding 2 find the number \n" ); document.write( "
Algebra.Com's Answer #650294 by fractalier(6550)\"\" \"About 
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Call the two-digit number xy, where x is the tens and y is the ones. Its value is 10x + y.
\n" ); document.write( "Then we can write
\n" ); document.write( "8(x + y) = 10x + y
\n" ); document.write( "and
\n" ); document.write( "14(x - y) + 2 = 10x + y
\n" ); document.write( "Simplifying these we get
\n" ); document.write( "8x + 8y = 10x + y
\n" ); document.write( "7y = 2x (or 14y = 4x)
\n" ); document.write( "and
\n" ); document.write( "14x - 14y + 2 = 10x + y
\n" ); document.write( "4x + 2 = 15y
\n" ); document.write( "Substitute from above and get
\n" ); document.write( "14y + 2 = 15y
\n" ); document.write( "y = 2
\n" ); document.write( "so then x = 7
\n" ); document.write( "Your number is 72.
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