document.write( "Question 760546: at present sohan's age is 7 more than a square number and 6 less than it immediate next square number.in how many years sohan will be 80 years? \n" ); document.write( "
Algebra.Com's Answer #462714 by ramkikk66(644)\"\" \"About 
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Sohan's age is 7 more than a square number.\r
\n" ); document.write( "\n" ); document.write( "So, if x is the age,\r
\n" ); document.write( "\n" ); document.write( "\"x+=+n%5E2+%2B+7\" for some number n.\r
\n" ); document.write( "\n" ); document.write( "Next number = n+1\r
\n" ); document.write( "\n" ); document.write( "x is also given to be 6 less than the next square number.\r
\n" ); document.write( "\n" ); document.write( "i.e. \"x+=+%28n%2B1%29%5E2+-+6\"\r
\n" ); document.write( "\n" ); document.write( "Equating the two values of x,\r
\n" ); document.write( "\n" ); document.write( "\"n%5E2+%2B+7+=+%28n%2B1%29%5E2+-+6\"\r
\n" ); document.write( "\n" ); document.write( "Expanding (n+1)^2\r
\n" ); document.write( "\n" ); document.write( "\"n%5E2+%2B+7+=+n%5E2+%2B+2%2An+%2B+1+-+6+=+n%5E2+%2B+2%2An+-+5\"\r
\n" ); document.write( "\n" ); document.write( "Removing n^2 from both sides\r
\n" ); document.write( "\n" ); document.write( "\"7+=+2%2An+-+5\"\r
\n" ); document.write( "\n" ); document.write( "i.e\r
\n" ); document.write( "\n" ); document.write( "\"2%2An+=+12\"\r
\n" ); document.write( "\n" ); document.write( "i.e.\r
\n" ); document.write( "\n" ); document.write( "\"n+=+6\"\r
\n" ); document.write( "\n" ); document.write( "So Sohan's age is \"6%5E2+%2B+7+=+43\" years.\r
\n" ); document.write( "\n" ); document.write( "In how many years will Sohan be 80 years old?\r
\n" ); document.write( "\n" ); document.write( "Sohan will be 80 in another \"80+-+43+=+37\" years.\r
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