document.write( "Question 226362: Wark’s (W) age equals Peter’s (P) age plus the cube root of Ian’s (I) age. P’s age equals I’s age plus the cube root of W’s age, plus 14 years.\r
\n" ); document.write( "\n" ); document.write( "I’s age equals the cube root of W’s age plus the square root of P’s age.\r
\n" ); document.write( "\n" ); document.write( "What is the age of each ???\r
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Algebra.Com's Answer #168785 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write an equation for each statement
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\n" ); document.write( "\n" ); document.write( "Wark’s (W) age equals Peter’s (P) age plus the cube root of Ian’s (I) age.
\n" ); document.write( "W = P + \"I%5E%281%2F3%29\"
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\n" ); document.write( "P’s age equals I’s age plus the cube root of W’s age, plus 14 years.
\n" ); document.write( "P = I + \"W%5E%281%2F3%29\" +14
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\n" ); document.write( "I’s age equals the cube root of W’s age plus the square root of P’s age.
\n" ); document.write( "I = \"W%5E%281%2F3%29\" + \"sqrt%28P%29\"\r
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\n" ); document.write( "\n" ); document.write( "What is the age of each ???
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\n" ); document.write( "This looks horrible at first glance but there are only 3 perfect cubes
\n" ); document.write( "in the age range. Ignoring 1, we have 8, 27 & 64, for I and W. And P is
\n" ); document.write( "a perfect square.
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\n" ); document.write( "In first equation
\n" ); document.write( "W = P + \"I%5E%281%2F3%29\"
\n" ); document.write( "W = 27, I=8, then P=25
\n" ); document.write( "or
\n" ); document.write( "W = 8, I=64, P=4; (does not work in the other equations)
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\n" ); document.write( "Test in the 2nd equation using W=27; I=8; P=25
\n" ); document.write( "P = I + \"W%5E%281%2F3%29\" +14
\n" ); document.write( "25 = 8 + \"27%5E%281%2F3%29\" + 14; this works,
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\n" ); document.write( "Test in the 3rd equation
\n" ); document.write( "I = \"W%5E%281%2F3%29\" + \"sqrt%28P%29\"
\n" ); document.write( "8 = \"27%5E%281%2F3%29\" + \"sqrt%2825%29\"
\n" ); document.write( "8 = 3 + 5
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\n" ); document.write( "The ages; Warks: 27; Peters 25; Ian 8
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