document.write( "Question 951594: A father is four times as old as his daughter. The sum of the squares of their ages is 1088. Find their ages. \n" ); document.write( "

Algebra.Com's Answer #581147 by macston(5194) $\"\"$ $\"About$

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d=daughter's age; 4d=father's age
\n" ); document.write( " $\"d%5E2%2B%284d%29%5E2=1088\"$
\n" ); document.write( " $\"d%5E2%2B16d%5E2=1088\"$
\n" ); document.write( " $\"17d%5E2=1088\"$ Divide each side by 17
\n" ); document.write( " $\"d%5E2=64\"$ Find the square root of each side
\n" ); document.write( " $\"sqrt%28d%5E2%29=sqrt%2864%29\"$
\n" ); document.write( "d=8 ANSWER 1: The daughter is 8 yeras old.
\n" ); document.write( "4d=4(8)=32 years ANSWER 2: The father is 32 years old.
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"%288%5E2%29%2B%2832%5E2%29=1088\"$
\n" ); document.write( " $\"64%2B1024=1088\"$
\n" ); document.write( " $\"1088=1088\"$ \n" ); document.write( "

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