document.write( "Question 478004: The sum of two numbers is 248. Their difference is 64. find the number. \n" ); document.write( "
Algebra.Com's Answer #852397 by greenestamps(13209)\"\" \"About 
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\n" ); document.write( "Tutor @ikleyn has provided a response showing a standard formal algebraic solution, forming two equations directly from the given information and solving the pair of equations using elimination.

\n" ); document.write( "Repeated here by way of demonstration....
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document.write( "x+y = 248 [the sum of the two numbers is 248]\r\n" );
document.write( "x-y = 64  [the difference of the two numbers is 64]\r\n" );
document.write( "2x = 312  [by adding the two equations]\r\n" );
document.write( "x = 156\r\n" );
document.write( "y = 248-156 = 92\r\n" );
document.write( "ANSWERS: 156 and 92

\n" ); document.write( "With a bit of practice, you can get the solution more quickly using exactly the same calculations but without the formal algebra.

\n" ); document.write( "The idea is this: you start with the first number and add the second, getting 248; and you start with the same first number and subtract the second, getting 64. If you picture that on a number line, that means the first number is exactly halfway between 248 and 64. So....

\n" ); document.write( "The first number is (248+64)/2 = 312/2 = 156
\n" ); document.write( "The second number is 248-156 = 92

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