document.write( "Question 808202: a man with a monthly income of rs 363 spends as much in 4 months , as he earns in 3 months . after 12 years he divided his saving amongst 3 sons , giving the eldest twice as much as the second and three times as much as the third . how much does the youngest son receive? \n" ); document.write( "
Algebra.Com's Answer #486879 by josgarithmetic(39617)\"\" \"About 
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Earn in 3 months: 363*3 rs
\n" ); document.write( "Spend in 4 months: 363*3 rs
\n" ); document.write( "Earn in 4 months: 363*4 rs
\n" ); document.write( "SAVE in 4 months: 363*4-363*3 rs\r
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\n" ); document.write( "\n" ); document.write( "The amount the man saves in 12 years is 3(363*4-363*3)*12 because 12 months per year and given years to save was 12 years. \r
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\n" ); document.write( "\n" ); document.write( "Simplify amount saved expression:
\n" ); document.write( "\"3%2A12%2A363%2A%284-1%29+=+3%2A12%2A363%2A3=3%2A3%2A4%2A3%2A363\" rs.
\n" ); document.write( "\"3%2A3%2A3%2A3%2A4%2A121\"
\n" ); document.write( "\"3%2A3%2A3%2A3%2A4%2A11%2A11\" rs. Call this saved quantity, V.\r
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\n" ); document.write( "\n" ); document.write( "Distrubution among the sons:
\n" ); document.write( "Let z = how much eldest son gets.
\n" ); document.write( "middle son gets \"%281%2F2%29z\".
\n" ); document.write( "\"third son\" gets \"%281%2F3%29z\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The quantity, V must be \"z%2Bz%2F2%2Bz%2F3\".
\n" ); document.write( "\"z%2Bz%2F2%2Bz%2F3=V\"
\n" ); document.write( "\"z%281%2B1%2F2%2B1%2F3%29=V\"
\n" ); document.write( "\"z%286%2B3%2B2%29%2F6=V\"
\n" ); document.write( "\"z%2811%2F6%29=V\"
\n" ); document.write( "\"z=V%286%2F11%29\"
\n" ); document.write( "\"z=%283%2A3%2A3%2A3%2A4%2A11%2A11%29%286%2F11%29\"
\n" ); document.write( "\"z=6%2A3%2A3%2A3%2A3%2A4%2A11%29\"
\n" ); document.write( "\"z=21384\" rs. And you can find the amounts to the two other sons.
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