document.write( "Question 954817: Sophie grandmother says she is getting younger. She says she was 4 times older than sophie this year but last year she said she was 5 years older. What is the total sum of their age
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Algebra.Com's Answer #583204 by macston(5194)![]() ![]() You can put this solution on YOUR website! S=Sophie's age; G=Grandmother's age \n" ); document.write( "G=4S \n" ); document.write( "G-1=5(S-1) Substitute for G \n" ); document.write( "4S-1=5(S-1) \n" ); document.write( "4S-1=5S-5 Subtract 4S from each side. \n" ); document.write( "-1=S-5 Add 5 to each side. \n" ); document.write( "4 years=S \n" ); document.write( "G=4S=4(4)=16 years \n" ); document.write( "G+S=4yrs+16yrs=20 yrs ANSWER The sum of their ages is 20 years. \n" ); document.write( "CHECK: \n" ); document.write( "Grandmother is four times as old as Sophie: \n" ); document.write( "G=4S \n" ); document.write( "16 years=4(4yrs) \n" ); document.write( "16 yrs=16 yrs \n" ); document.write( "Last year, Grandmother was 3 times as old: \n" ); document.write( "G-1=5(S-1) \n" ); document.write( "16yrs-1=5(4yrs-1) \n" ); document.write( "15 yrs=5(3 yrs) \n" ); document.write( "15 yrs=15 yrs \n" ); document.write( " \n" ); document.write( " |