document.write( "Question 977424: The daughter is half the age of the mother and the mother is 5 years younger than the father all the ages together equal 100. What is the age of the daughter mother and father?? \n" ); document.write( "
Algebra.Com's Answer #598945 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make father's age = x \n" ); document.write( "Mother's age is then x - 5 \n" ); document.write( "Daughter's age is (x - 5)/2 \n" ); document.write( ".................. \n" ); document.write( "x + x - 5 + (x - 5)/2 = 100 \n" ); document.write( "Multiply thr'out by 2 \n" ); document.write( "2x + 2x - 10 + x - 5 = 200 \n" ); document.write( "Collect like terms \n" ); document.write( "5x - 15 = 200 \n" ); document.write( "5x = 200 + 15 \n" ); document.write( "5x = 215 \n" ); document.write( "x = 43. \n" ); document.write( "Therefore the Father's age is 43 years \n" ); document.write( "Mother's age is 38 years \n" ); document.write( "Daughter's age is 19 years. \n" ); document.write( "43 + 38 + 19 = 100. \n" ); document.write( "Hope this helps:-) \n" ); document.write( " |