SOLUTION: Question of the day!!! A girl went to school and the teacher asked,how old ar u?.She replied, I don't know but I know I'm half my mother's age. The Teacher asked OK,how old is

Algebra ->  Equations -> SOLUTION: Question of the day!!! A girl went to school and the teacher asked,how old ar u?.She replied, I don't know but I know I'm half my mother's age. The Teacher asked OK,how old is       Log On


   

Question 1071587: Question of the day!!!
A girl went to school and the teacher asked,how old ar u?.She replied, I don't know but I know I'm half my mother's age. The Teacher asked OK,how old is ur Mother?.She said I don't know but I know that My dad 5yeare older than my mother. The Teacher then asked ,how old is ur dad?.She said I don't know but I know if we add our ages the answer is 100 yearsNow,how old is the Girl,her Mother, and her Dad?????

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = her mother's age
+x+%2B+5+ = her father's age
+%281%2F2%29%2Ax+ = the girl's age
---------------------------
+x+%2B+x+%2B+5+%2B+%281%2F2%29%2Ax+=+100+
+2x+%2B+%281%2F2%29%2Ax+=+100+-+5+
Multiply both sides by +2+
+4x+%2B+x+=+2%2A95+
+5x+=+190+
+x+=+38
and
+%281%2F2%29%2Ax+=+19+
and
+x+%2B+5+=+43+
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The girl is 19
Her mother is 38
Her father is 43