document.write( "Question 919634: Grace is 4years old when john is 1 years old. In how many years time will the ratio of Graces age to Johns age be 4:5? \n" ); document.write( "

Algebra.Com's Answer #557983 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Grace is 4years old when john is 1 years old.
\n" ); document.write( " In how many years time will the ratio of Graces age to Johns age be 4:5?
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\n" ); document.write( "the way this is written is impossible, perhaps you meant
\n" ); document.write( "\" Grace is 4years old when john is 1 years old. In how many years time will the ratio of Graces age to Johns age be 5:4?:
\n" ); document.write( ":
\n" ); document.write( "let y = no. years for this to be true
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\n" ); document.write( " $\"%28y%2B4%29%2F%28y%2B1%29\"$ = $\"5%2F4\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "5(y+1) = 4(y+4)
\n" ); document.write( "5y + 5 = 4y + 16
\n" ); document.write( "5y - 4y = 16 - 5
\n" ); document.write( "y = 11 years
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\n" ); document.write( "See if this is true in 11 yrs:
\n" ); document.write( "Grace will be 15 yrs old
\n" ); document.write( "John will be 12 yrs old
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\n" ); document.write( "15/12 reduces to 5/4 \n" ); document.write( "

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