document.write( "Question 521054: A grandmother is taking her granddaughter to the movies. The grandmother is 9 years less than 7 times the age of the granddaughter. The sum of their ages is 71. Let (x) stand for the granddaughter's age and (y) stand for the grandmother's age. \n" ); document.write( "

Algebra.Com's Answer #346318 by mamiya(56) $\"\"$ $\"About$

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A grandmother is taking her granddaughter to the movies. The grandmother is 9 years less than 7 times the age of the granddaughter. The sum of their ages is 71. Let (x) stand for the granddaughter's age and (y) stand for the grandmother's age.\r
\n" ); document.write( "\n" ); document.write( "the grandmother is 9 years less than 7 times the age of the granddaughter, means
\n" ); document.write( " y= 7x - 9\r
\n" ); document.write( "\n" ); document.write( "the sum of their ages is 71, means y + x=71\r
\n" ); document.write( "\n" ); document.write( "so we have, y - 7x = -9
\n" ); document.write( " y + x=71\r
\n" ); document.write( "\n" ); document.write( " we subtract the second equation from the first one,
\n" ); document.write( " (y-7x)-(y+x)= -9-71\r
\n" ); document.write( "\n" ); document.write( " y-7x-y-x= -80
\n" ); document.write( " -8x= -80
\n" ); document.write( " x= (-80)/(-8)
\n" ); document.write( " x = 10 \r
\n" ); document.write( "\n" ); document.write( "and y=7*10 -9=61\r
\n" ); document.write( "\n" ); document.write( "so the grandmother is 61 and the granddaughter is 10. \n" ); document.write( "

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