document.write( "Question 575980: Three siblings have a combines age of 108 yrs. The oldest is 8 years older than the youngest. what are the ages of the siblings? \n" ); document.write( "
Algebra.Com's Answer #369709 by ankor@dixie-net.com(22740)\"\" \"About 
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Three unknowns, two equations, calls for some reasoning here. \r
\n" ); document.write( "\n" ); document.write( "Three siblings have a combined age of 108 yrs.
\n" ); document.write( "a + b + c = 108
\n" ); document.write( ";
\n" ); document.write( "The oldest is 8 years older than the youngest.
\n" ); document.write( "a = c + 8
\n" ); document.write( ":
\n" ); document.write( "a + b + c = 108
\n" ); document.write( "(c+8) + b + c = 108
\n" ); document.write( "2c + b = 108 - 8
\n" ); document.write( "2c = b = 100
\n" ); document.write( "b = -2c + 100
\n" ); document.write( "we know b is < 8 and > 1 yr more than c
\n" ); document.write( "c = 31
\n" ); document.write( "b = -2(31) + 100
\n" ); document.write( "b = 38
\n" ); document.write( "or
\n" ); document.write( "c = 32
\n" ); document.write( "b = -2(32) + 100
\n" ); document.write( "b = 36
\n" ); document.write( "and
\n" ); document.write( "c = 33
\n" ); document.write( "b = -2(33) + 100
\n" ); document.write( "b = 34
\n" ); document.write( ":
\n" ); document.write( "So we have three possibilities:
\n" ); document.write( "a = 39
\n" ); document.write( "b = 38
\n" ); document.write( "c = 31
\n" ); document.write( "or
\n" ); document.write( "a = 40
\n" ); document.write( "b = 36
\n" ); document.write( "c = 32
\n" ); document.write( "or
\n" ); document.write( "a = 41
\n" ); document.write( "b = 34
\n" ); document.write( "c = 33 \n" ); document.write( "
\n" );