document.write( "Question 505176: Tony is 5 years older than his sister. In 3 years he will be twice as oldas she is. How old is Tony?
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Algebra.Com's Answer #339804 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of Tony = t \n" ); document.write( "Present age of Sister = s \n" ); document.write( "Tony is 5 years older means if we add 5 to present age of his sister both will be of equal age \n" ); document.write( "t=s+5 ..........(1) \n" ); document.write( "In three years means we have to add 3 in the present ages of both \n" ); document.write( "t+3=s+3 \n" ); document.write( "then he will be twice as old as his sister \n" ); document.write( "t+3=2(s+3) \n" ); document.write( "t+3=2s+6 \n" ); document.write( "t=2s+6-3 \n" ); document.write( "t=2s+3 \n" ); document.write( "Put the value of t in from (1) to above equation \n" ); document.write( "s+5=2s+3 \n" ); document.write( "s=2s+3-5 \n" ); document.write( "s-2s=3-5 \n" ); document.write( "-s=-2 \n" ); document.write( "Multiply by (-1) both sides of the equation \n" ); document.write( "(-1)(-s)=(-2)(-1) \n" ); document.write( "s=2 \n" ); document.write( "Put the value of s in (1), we have \n" ); document.write( "t=s+5 ..........(1) \n" ); document.write( "t=2+5 \n" ); document.write( "t=7\r \n" ); document.write( "\n" ); document.write( "Present age of Tony = t = 7 years old \n" ); document.write( "Present age of Sister = s = 2 years old \n" ); document.write( " \n" ); document.write( " |