document.write( "Question 503132: 1.a father is now 5 times as old as his son. 21 years hence he will be twice as old as his son . what are their ages.\r
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document.write( "2.find a number such that when 58 is added to it , the result is equal to 3 x the number.\r
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document.write( "3.in 8 year time time mart age will be 4 times her age 7 years ago. if Mary is x year now. what is Marys age in 8 year time .
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document.write( "Marys age 7 years ago
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document.write( "solve x \n" );
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Algebra.Com's Answer #339092 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Q1. \n" ); document.write( "A father is now 5 times as old as his son. 21 years hence he will be twice as old as his son . what are their ages. \r \n" ); document.write( "\n" ); document.write( "Let \n" ); document.write( "present age of father = f \n" ); document.write( "present age of son = s\r \n" ); document.write( "\n" ); document.write( "Father is 5 times as old as son \n" ); document.write( "f=5s ..............(1) \n" ); document.write( "After 21 years means we have to add 21 in the present ages of son and father \n" ); document.write( "f+21=s+21 \n" ); document.write( "then \n" ); document.write( "father will be twice as old as his son \n" ); document.write( "f+21=2(s+21) \n" ); document.write( "f+21=2s+42 \n" ); document.write( "f=2s+42-21 \n" ); document.write( "f=2s+21 ...........(2) \n" ); document.write( "Put the value of from (1) to (2), we have \n" ); document.write( "f=2s+21 \n" ); document.write( "5s=2s+21 \n" ); document.write( "5s-2s=21 \n" ); document.write( "3s=21 \n" ); document.write( "s=21/3 \n" ); document.write( "s=7 \n" ); document.write( "Put the value of s in (1), we have \n" ); document.write( "f=5s \n" ); document.write( "f=5*7 \n" ); document.write( "f=35 \n" ); document.write( "present age of father = 35 \n" ); document.write( "present age of son = 7\r \n" ); document.write( "\n" ); document.write( "Q2. \n" ); document.write( "find a number such that when 58 is added to it , the result is equal to 3 x the number. \n" ); document.write( "Let \n" ); document.write( "Number = x \n" ); document.write( "3x=x+58 \n" ); document.write( "3x-x=58 \n" ); document.write( "2x=58 \n" ); document.write( "x=58/2 \n" ); document.write( "x=29 \n" ); document.write( "Number = 29\r \n" ); document.write( "\n" ); document.write( "Q3. \n" ); document.write( "In 8 year time time Mary age will be 4 times her age 7 years ago. if Mary is x year now. what is Marys age in 8 year time . \n" ); document.write( "Marys age 7 years ago \n" ); document.write( "solve x\r \n" ); document.write( "\n" ); document.write( "Mary's age now = x \n" ); document.write( "7 years ago = x-7 \n" ); document.write( "After 8 years time = x+8 \n" ); document.write( "After 8 years from now, Mary age will be 4 times her age 7 years ago \n" ); document.write( "4(x-7)=x+8 \n" ); document.write( "4x-28=x+8 \n" ); document.write( "4x-x=8+28 \n" ); document.write( "3x=36 \n" ); document.write( "x=36/3 \n" ); document.write( "x=12\r \n" ); document.write( "\n" ); document.write( "Mary is 12 years old now. \n" ); document.write( " \n" ); document.write( " |