document.write( "Question 1123628: The ratio of the piece of house was16:23.two yrs later when the price of the first had risen by 10% and that of the second by gh477,the ratio of their prices become 11:20.find the original price of the two houses. \n" ); document.write( "

Algebra.Com's Answer #740004 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The way I understand this:
\n" ); document.write( "The ratio of the price of two houses was 16:23.
\n" ); document.write( "two yrs later when the price of the first had risen by 10% and that of the second by gh477,
\n" ); document.write( "the ratio of their prices become 11:20.
\n" ); document.write( "find the original price of the two houses.
\n" ); document.write( ":
\n" ); document.write( "let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "16x = original price of the 1st house
\n" ); document.write( "and
\n" ); document.write( "23x = original price of the 2nd
\n" ); document.write( ":
\n" ); document.write( "Two years later;
\n" ); document.write( "1.1(16x) = 17.6x; the price of the 1st house
\n" ); document.write( "and
\n" ); document.write( "(23x+477) = the price of the 2nd house
\n" ); document.write( ":
\n" ); document.write( "The ratio now is 11:20
\n" ); document.write( " $\"%2817.6x%29%2F%2823x%2B477%29\"$ = $\"11%2F20\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "20(17.6x) = 11(23x+477)
\n" ); document.write( "352x = 253x + 5247
\n" ); document.write( "352x - 253x = 5247
\n" ); document.write( "99x = 5247
\n" ); document.write( "x = 5247/99
\n" ); document.write( "x = 53 is the multiplier
\n" ); document.write( "therefore
\n" ); document.write( "53*16 = gh848 is the original price of the 1st house.
\n" ); document.write( "and
\n" ); document.write( "53*23 = gh1219 is the price of the 2nd house.
\n" ); document.write( "
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

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