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)\"\" \"About 
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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
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