document.write( "Question 1045646: A son is 3 years younger than his sister, who, in turn is 27 years younger than their mom. In 11 years their mom will be 3 times the age of the daughter. \r
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document.write( "How old the son at the present moment. \r
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Algebra.Com's Answer #661125 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let a = son's present age \n" ); document.write( "let b = sister's \n" ); document.write( "let m = mom's \n" ); document.write( ": \n" ); document.write( "write an equation for each statement \n" ); document.write( ": \n" ); document.write( "A son is 3 years younger than his sister, \n" ); document.write( "a = b - 3 \n" ); document.write( " who, in turn is 27 years younger than their mom. \n" ); document.write( "b = m - 27 \n" ); document.write( " In 11 years their mom will be 3 times the age of the daughter. \n" ); document.write( "m + 11 = 3(b + 11) \n" ); document.write( "m + 11 = 3b + 33 \n" ); document.write( "m = 3b + 33 - 11 \n" ); document.write( "m = 3b + 22 \n" ); document.write( "replace b with (m-27) from the 2nd statement \n" ); document.write( "m = 3(m-27) + 22 \n" ); document.write( "m = 3m - 81 + 22 \n" ); document.write( "m = 3m - 59 \n" ); document.write( "59 = 3m - m \n" ); document.write( "59 = 2m \n" ); document.write( "m = 59/2 \n" ); document.write( "m = 29.5, not an integer so this problem is probably not valid \n" ); document.write( ": \n" ); document.write( "but plunging ahead anyway \n" ); document.write( "b = 29.5 - 27 \n" ); document.write( "b = 2.5 \n" ); document.write( "therefore, son's age \n" ); document.write( "a = 2.5 - 3 \n" ); document.write( "a = -.5, obviously a major flaw in the this problem \n" ); document.write( ": \n" ); document.write( "How old the son at the present moment. Will be born in 6 months \n" ); document.write( ": \n" ); document.write( "maybe the method will help you in future problems like this. CK \n" ); document.write( " |