document.write( "Question 38737: John is 6 years older than his youngest brother Tim. The sum of squares of their ages is 218. How old are John and Tim? \n" ); document.write( "

Algebra.Com's Answer #24242 by Paul(988) $\"\"$ $\"About$

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John is x+6
\n" ); document.write( "Tim is x
\n" ); document.write( "Equation:
\n" ); document.write( " $\"%28x%2B6%29%5E2%2B%28x%29%5E2=218\"$
\n" ); document.write( " $\"x%5E2%2B36%2B12x=218\"$
\n" ); document.write( " $\"x%5E2%2B12x-182=0\"$
\n" ); document.write( " $\"x+=+%28-12+%2B-+sqrt%28+12%5E2-4%2A1%2A-182+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " x=9 (rounded)
\n" ); document.write( "9+6=15
\n" ); document.write( "Hence, JOhn is 15 years old, and Tim is 9 years old.\r
\n" ); document.write( "\n" ); document.write( "Paul.
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