document.write( "Question 67795This question is from textbook An Incremental Development
\n" ); document.write( ": Harold was 5 years older than phidella. In 10 years he found that 4 times his age exceeded twice phidella's age by only 50. How old were Harold and Phidella in the beginning? \n" ); document.write( "

Algebra.Com's Answer #48220 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Write a simple equation for each statement
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\n" ); document.write( "Harold was 5 years older than phidella.
\n" ); document.write( "H = P + 5
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\n" ); document.write( "In 10 years he found that 4 times his age exceeded twice phidella's age by only 50. (Remember their ages are now (H+10) and (P+10))
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\n" ); document.write( "4(H + 10) = 2(P+10) + 50
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\n" ); document.write( "4H + 40 = 2P + 20 + 50
\n" ); document.write( "4H + 40 = 2P + 70
\n" ); document.write( "4H = 2P + 70 - 40
\n" ); document.write( "4H = 2P + 30
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\n" ); document.write( "How old were Harold and Phidella in the beginning?
\n" ); document.write( ":
\n" ); document.write( "Substitute (P+5) for H in the above equation and solve for P
\n" ); document.write( "4(P+5) = 2P + 30
\n" ); document.write( "4P + 20 = 2P + 30
\n" ); document.write( "4P - 2P = 30 - 20
\n" ); document.write( "2P = 10
\n" ); document.write( "P = 5 years old
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\n" ); document.write( "That makes H, 10 yrs old
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\n" ); document.write( "Test our answers in the statement:
\n" ); document.write( "\"In 10 years he found that 4 times his age exceeded twice phidella's age by only
\n" ); document.write( "50.\" (H is now 20 and P is 15)
\n" ); document.write( ":
\n" ); document.write( "4(20) = 2(15) + 50
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