document.write( "Question 254383: Please help me solve this problem: find the two numbers in the ratio 9:16 whose sum is 50. \n" ); document.write( "

Algebra.Com's Answer #186712 by palanisamy(496) $\"\"$ $\"About$

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Let the two numbers be x and y.
\n" ); document.write( "Given, x+y = 50 ..(1)
\n" ); document.write( "Also, x/y = 9/16
\n" ); document.write( " 16x= 9y
\n" ); document.write( " 16x-9y = 0 ...(2)
\n" ); document.write( "(1)*9=> 9x+9y = 450 ...(3)
\n" ); document.write( "(2)+(3)=> 25x = 450
\n" ); document.write( " x = 450/25
\n" ); document.write( " x = 18
\n" ); document.write( "Substituting in (1), we get
\n" ); document.write( " 18+y = 50
\n" ); document.write( " y = 50-18
\n" ); document.write( " y = 32
\n" ); document.write( "Therefore the required numbers are 18 and 32 \n" ); document.write( "

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