document.write( "Question 951884: The current age ratio of two girls is 1:3 after four years it will be 2:3, what is the current age of the older girl \n" ); document.write( "
Algebra.Com's Answer #581369 by ankor@dixie-net.com(22740)\"\" \"About 
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The current age ratio of two girls is 1:3 after four years it will be 2:3, what is the current age of the older girl
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\n" ); document.write( "I don't this is possible, assuming the ages are integers, but let's try it
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\n" ); document.write( "let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "1x = the age of one girl
\n" ); document.write( "3x = age of the older girl
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\n" ); document.write( "\"%28%28x%2B4%29%29%2F%28%283x%2B4%29%29\" = \"2%2F3\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "3(x+4) = 2(3x+4)
\n" ); document.write( "3x + 12 = 6x + 8
\n" ); document.write( "12 - 8 = 6x - 3x
\n" ); document.write( "4 = 3x
\n" ); document.write( "x = 4/3 is the multiplier
\n" ); document.write( "The younger girl is 4/3 which is 1 yr 4 months
\n" ); document.write( "then
\n" ); document.write( "3(\"4%2F3\") = 4 yrs is the age of the older girl
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\n" ); document.write( "Check this by finding their ages in 4yr
\n" ); document.write( "5\"1%2F3\" is the age in of the younger
\n" ); document.write( "8 yrs is the age of the older
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\n" ); document.write( "Check the fraction using decimals on a calc \"5.3333%2F8\" = .6666 ~ \"2%2F3\"
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\n" ); document.write( "This means that when the younger is 1 yr 4 months, the older is 4 yrs old
\n" ); document.write( "Seems like they would at least have integer ages here.
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