document.write( "Question 353507: Nathan is 8 years older than Steven. Steven is 3 years older than Megan. Megan is 11 years younger than Nathan. The sum of their ages is 65. How old is Megan? \n" ); document.write( "

Algebra.Com's Answer #252584 by robertb(5830) $\"\"$ $\"About$

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From the given,
\n" ); document.write( " $\"n+=+s+%2B+8\"$ (1)
\n" ); document.write( " $\"s+=+m+%2B+3\"$ (2)
\n" ); document.write( " $\"m+=+n+-+11\"$ (3)
\n" ); document.write( " $\"n+%2B+s+%2B+m+=+65\"$ (4)
\n" ); document.write( "Putting equation (3) into (4), we get
\n" ); document.write( " $\"n+%2B+s+%2B%28n+-+11%29+=+65\"$
\n" ); document.write( "Thus $\"2n+%2B+s+=+76\"$ (5)
\n" ); document.write( "Putting equation (1) into (5),
\n" ); document.write( " $\"2%2A%28s%2B8%29%2B+s=+76\"$ ,
\n" ); document.write( " $\"2s+%2B+16+%2Bs+=76\"$ ,
\n" ); document.write( " $\"3s+=+60\"$ , or $\"s+=+20\"$ .
\n" ); document.write( "Thus Steven is 20 years old.
\n" ); document.write( "from equation (2), $\"20+=+m+%2B+3\"$ , or $\"m+=+17\"$ .
\n" ); document.write( "Therefore megan is 17 yrs old. \n" ); document.write( "

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