Question 938625: in four years a mother will be 5 times as old as her daughter. at present, the mother is 9 times as old as her daughter. how old are the mother and daughter today?
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! x = daughter now
9x = mother now {at present, the mother is 9 times the daughter}
x + 4 = daughter in 4 years {added 4 onto current age}
9x + 4 = mother in 4 years {added 4 onto current age}
9x + 4 = 5(x + 4) {in 4 years a mother will be 5 times the daughter}
9x + 4 = 5x + 20 {used distributive property}
4x = 16 {subtracted 5x and subtracted 4 from each side}
x = 4 {divided each side by 4}
9x = 36 {substituted 4, in for x, into 9x}
daughter is 4 and mother is 36
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