document.write( "Question 310590: Sam is now one-sixth as old as his father, in 4 years; Sam will be one fourth as old as his father will be then. Find the ages of Sam and his father now.
\n" ); document.write( "This is what I have at this moment.\r
\n" ); document.write( "\n" ); document.write( "1/6 x + 4 = 1/4 x\r
\n" ); document.write( "\n" ); document.write( "Thank you.
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Algebra.Com's Answer #222084 by mollukutti(30)\"\" \"About 
You can put this solution on YOUR website!
As you have assumed, let me assume Sam's father's current age as x years
\n" ); document.write( "Then, Sam's current age is 1/6 x = x/6 yrs\r
\n" ); document.write( "\n" ); document.write( "After 4 years Sam's age will be x/6 + 4
\n" ); document.write( "Sam's dad's age will be (x + 4) years\r
\n" ); document.write( "\n" ); document.write( "As per the question:\r
\n" ); document.write( "\n" ); document.write( "x/6 + 4 = 1/4 (x + 4)
\n" ); document.write( "or, x/6 + 4 = x/4 + 1
\n" ); document.write( "or, 4 - 1 = x/4 - x/6
\n" ); document.write( "Changing sides:\r
\n" ); document.write( "\n" ); document.write( "x/4 - x/6 = 4 - 1
\n" ); document.write( "or, (6x - 4x)/24 = 3
\n" ); document.write( "or 2x = 3.24
\n" ); document.write( "or, x = 36\r
\n" ); document.write( "\n" ); document.write( "Therefore Sam is 36/6 = 6 years old
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