document.write( "Question 927860: In a particular year my sister was twice as old as I was and I was twice as old as my brother. The product of our ages was 216. The sum of our ages must have been?\r
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document.write( "a. 21 b. 26 c. 34 d. 54 \n" );
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Algebra.Com's Answer #563335 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let h = his age in a particular yr \n" ); document.write( "let s = sister's age \n" ); document.write( "let b = brother's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "In a particular year my sister was twice as old as I was \n" ); document.write( "s = 2h \n" ); document.write( " and I was twice as old as my brother. \n" ); document.write( "h = 2b \n" ); document.write( "or (get s and b in terms of h) \n" ); document.write( "b = .5h \n" ); document.write( " The product of our ages was 216. \n" ); document.write( "h*s*b = 216 \n" ); document.write( "replace s and b \n" ); document.write( "h * 2h * .5h = 216 \n" ); document.write( "h^3 = 216 \n" ); document.write( "find the cube root \n" ); document.write( "h = 6 yrs old \n" ); document.write( "then \n" ); document.write( "b = 3 yrs old \n" ); document.write( "and \n" ); document.write( "s = 12 yrs old \n" ); document.write( ": \n" ); document.write( "6 + 3 + 12 = 21 \n" ); document.write( " \n" ); document.write( " |