document.write( "Question 65110: The average of two four digit positive integers is found by placing a demimal point between the two numbers. Find the sum of the two four digit numbers. \n" ); document.write( "
Algebra.Com's Answer #45639 by venugopalramana(3286)\"\" \"About 
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The average of two four digit positive integers is found by placing a demimal point between the two numbers. Find the sum of the two four digit numbers.
\n" ); document.write( "LET THE 2 NUMBERS BE
\n" ); document.write( "I NUMBER IS....ABCD..ITS VALUE IS = D+ 10C+100B+1000A =M SAY
\n" ); document.write( "II NUMBER IS ..PQRS ...ITS VALUE IS = S+10R+100Q+1000P = N SAY
\n" ); document.write( "SUM OF 2 NUMBERS = (D+S)+10(C+R)+100(B+Q)+1000(A+P)=M+N
\n" ); document.write( "THEIR AVERAGE AS GIVEN = ABCD.PQRS...ITS VALUE IS
\n" ); document.write( " = D+ 10C+100B+1000A+P/10 + Q/100 + R/1000 + S/10000 = M+N/10000
\n" ); document.write( " = (M+N)/2
\n" ); document.write( "HENCE
\n" ); document.write( "2M+2N/10000-M-N=0
\n" ); document.write( "M-N+N/5000=0
\n" ); document.write( "M = N[1-1/5000]=4999N/5000
\n" ); document.write( "SINCE M IS ANINTEGER
\n" ); document.write( "N SHOULD BE A MULTIPLE OF 5000 = 5000*X
\n" ); document.write( "SINCE M & N ARE 4 DIGIT NUMBERS ..THE ONLY POSSIBILITY IS X=1.
\n" ); document.write( "HENCE THE 2 NUMBERS ARE
\n" ); document.write( "5000 AND 4999 THEIR AVERAGE IS 4999.5000 WHICH IS OK
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