document.write( "Question 983101: 1)Sunny was recently sent to a new school in Peach City-Atlanta-GA.. On the first day of her arrival the teacher asked her age and this was Sunny’s curious reply.
\n" ); document.write( "‘Well, Madam, you see it is like this. At the time I was born, I forgot the year, my only sister Nithya , happened to be just one quarter the age of my mother and she is now one third the age of our father’
\n" ); document.write( "‘That is very well, Sunanya’ said the teacher, but what I asked is not the age of your sister Nithya but your own age’.
\n" ); document.write( "Sunanya then replied ‘ Madam, I was just coming to that” and continued ‘ I am just a quarter of my mother’s present age and in four years time I shall be a quarter the age of my father. Is not that funny?
\n" ); document.write( "This was all the information that the teacher could get from Sunanaya. Could you work out, from the facts what was Sunanaya’s age?.
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Algebra.Com's Answer #603930 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
1)Sunny was recently sent to a new school in Peach City-Atlanta-GA.. On the
\n" ); document.write( "first day of her arrival the teacher asked her age and this was Sunny’s curious
\n" ); document.write( " reply.
\n" ); document.write( "‘Well, Madam, you see it is like this. At the time I was born, I forgot the
\n" ); document.write( "year, my only sister Nithya , happened to THEN be just one quarter the age of my
\n" ); document.write( "mother AT PRESENT and she is now one third the age of our father’
\n" ); document.write( "‘That is very well, Sunanya’ said the teacher, but what I asked is not the age
\n" ); document.write( "of your sister Nithya but your own age’.
\n" ); document.write( "Sunanya then replied ‘ Madam, I was just coming to that” and continued ‘ I am
\n" ); document.write( "just a quarter of my mother’s present age and in four years time I shall be a
\n" ); document.write( "quarter the age of my father. Is not that funny?\r
\n" ); document.write( "\n" ); document.write( "This was all the information that the teacher could get from Sunanaya. Could you
\n" ); document.write( "work out, from the facts what was Sunanaya’s age?.
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document.write( "That will only work if you insert the words AT PRESENT above.  \r\n" );
document.write( "Otherwise the ages come out as fractions.\r\n" );
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\n" ); document.write( "1)Sunny was recently sent to a new school in Peach City-Atlanta-GA.. On the
\n" ); document.write( "first day of her arrival the teacher asked her age and this was Sunny’s curious
\n" ); document.write( "reply.
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document.write( "Suppose Sunny is S years old\r\n" );
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\n" ); document.write( "‘Well, Madam, you see it is like this. At the time I was born, I forgot the year,
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\r\n" );
document.write( "That was S years ago.\r\n" );
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\n" ); document.write( "my only sister Nithya ,
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\r\n" );
document.write( "Let Nithya's present age be N, so her age when Sonny was born was N-S \r\n" );
document.write( "

\n" ); document.write( "happened to be just one quarter the age of my mother AT PRESENT
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document.write( "Let the mother's age AT PRESENT be M\r\n" );
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document.write( "so N-S = \"1%2F4\"M\r\n" );
document.write( "

\n" ); document.write( "and she is now one third the age of our father’
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\r\n" );
document.write( "Let the father's age be F\r\n" );
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document.write( "So N = \"1%2F3\"F\r\n" );
document.write( "

\n" ); document.write( "‘That is very well, Sunanya’ said the teacher, but what I asked is not the age
\n" ); document.write( "of your sister Nithya but your own age’.
\n" ); document.write( "Sunanya then replied ‘ Madam, I was just coming to that” and continued ‘ I am
\n" ); document.write( "just a quarter of my mother’s present age.
\n" ); document.write( "
\r\n" );
document.write( "So S = \"1%2F4\"M\r\n" );
document.write( "

\n" ); document.write( "and in four years time I shall be a quarter the age of my father.
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\r\n" );
document.write( "So S+4 = \"1%2F4\"(F+4}}}\r\n" );
document.write( "

\n" ); document.write( "Is not that funny?
\n" ); document.write( "This was all the information that the teacher could get from Sunanaya. Could you
\n" ); document.write( "work out, from the facts what was Sunanaya’s age?.
\n" ); document.write( "
\r\n" );
document.write( "We have the system of equations\r\n" );
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document.write( "(1)  N-S = \"1%2F4\"M\r\n" );
document.write( "(2)  N = \"1%2F3\"F\r\n" );
document.write( "(3)  S = \"1%2F4\"M\r\n" );
document.write( "(4)  S+4 = \"1%2F4\"(F+4)\r\n" );
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document.write( "Solve (4) for F\r\n" );
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document.write( "(4)   S+4 = \"1%2F4\"(F+4)\r\n" );
document.write( "   4(S+4) = F+4\r\n" );
document.write( "    4S+16 = F+4\r\n" );
document.write( "(5) 4S+12 = F\r\n" );
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document.write( "Substitute in (2)\r\n" );
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document.write( "(2)  N = \"1%2F3\"F\r\n" );
document.write( "    3N = F\r\n" );
document.write( "    3N = 4S+12\r\n" );
document.write( "(6)  N = (4S+12)/3\r\n" );
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document.write( "Solve (3) for M\r\n" );
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document.write( "(3)  S = \"1%2F4\"M\r\n" );
document.write( "(7)  4S = M\r\n" );
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document.write( "Use (6) and (7) to substitute for N and M in (1)\r\n" );
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document.write( "(1)  N-S = \"1%2F4\"M\r\n" );
document.write( "   4N-4S = M\r\n" );
document.write( "4(4S+12)/3 - 4S = 4S\r\n" );
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document.write( "4(4S+12) - 12S = 12S\r\n" );
document.write( "  16S+48 - 12S = 12S \r\n" );
document.write( "       4S + 48 = 12S\r\n" );
document.write( "            48 = 8S\r\n" );
document.write( "(8)          6 = S\r\n" );
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document.write( "We could quit there, for Sunny is 6. But we'll get the other ages.\r\n" );
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document.write( "Use (7) to get M\r\n" );
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document.write( "(7)  4S = M\r\n" );
document.write( "     4(6) = M\r\n" );
document.write( "     24 = M\r\n" );
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document.write( "Use (8) in (5) to get F\r\n" );
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document.write( "(5) 4(6)+12 = F\r\n" );
document.write( "      24+12 = F\r\n" );
document.write( "(9)      36 = F\r\n" );
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document.write( "Use (9) in (2) to get N\r\n" );
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document.write( "(2)  N = \"1%2F3\"F\r\n" );
document.write( "     N = \"1%2F3\"(36)\r\n" );
document.write( "     N = 12\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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