document.write( "Question 176344: An investor deposits P100,000 into two accounts. Twice the larger deposit is P25,000 less than three times the smaller deposit. Find the amount deposited in each account. \n" ); document.write( "
Algebra.Com's Answer #131459 by Fombitz(32388)\"\" \"About 
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Let A and B be the amounts deposited.
\n" ); document.write( "1.\"A%2BB=100000\"
\n" ); document.write( "\"Twice the larger deposit(B) is P25,000 less than three times the smaller deposit(A)\"
\n" ); document.write( "2.\"2B=3A-25000\"
\n" ); document.write( "The choice of A and B as smaller and larger deposit is arbitrary... could be the other way around.
\n" ); document.write( "From eq. 1,
\n" ); document.write( "1.\"A%2BB=100000\"
\n" ); document.write( "Let's multiplied both sides by 2,
\n" ); document.write( "1.\"2A%2B2B=200000\"
\n" ); document.write( "Now substitute eq. 2 into eq. 1 and solve for A.
\n" ); document.write( "1.\"2A%2B2B=200000\"
\n" ); document.write( "\"2A%2B%283A-25000%29=200000\"
\n" ); document.write( "\"5A-25000=200000\"
\n" ); document.write( "\"5A=225000\"
\n" ); document.write( "\"highlight%28A=45000%29\"
\n" ); document.write( "From eq. 1,
\n" ); document.write( "1.\"A%2BB=100000\"
\n" ); document.write( "\"45000%2BB=100000\"
\n" ); document.write( "\"highlight%28B=55000%29\"
\n" ); document.write( "
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