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)\"\" \"About 
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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:-)
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