document.write( "Question 175295: Henry's age is 10 years less than four times Paul's age. The sum of their ages is 100. Find their ages. \n" ); document.write( "

Algebra.Com's Answer #130380 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Henry's age is 10 years less than four times Paul's age. The sum of their ages is 100. Find their ages.
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\n" ); document.write( "let h = Henry's age
\n" ); document.write( "let p = Paul's age
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\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( "\"Henry's age is 10 years less than four times Paul's age.\"
\n" ); document.write( "h = 4p - 10
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\n" ); document.write( "\"The sum of their ages is 100.\"
\n" ); document.write( "h + p = 100
\n" ); document.write( ":
\n" ); document.write( " Find their ages.
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\n" ); document.write( "Substitute (4p-10) for h in the above equation
\n" ); document.write( "(4p-10) + p = 100
\n" ); document.write( "5p = 100 + 10
\n" ); document.write( "5p = 110
\n" ); document.write( "p = $\"110%2F5\"$
\n" ); document.write( "p = 22 is Paul's age
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\n" ); document.write( "I'll let you find Henry's age (h), substitute 22 for p, check your solutions in both equations\r
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