Question 672601: A father's age is now three times that of his elder daughter. Five years back, his age was eight times that of his younger daughter. If the difference of ages of the two daughters is 5 years, what is the age of the father now?
Answer by MathTherapy(10552)   (Show Source):
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A father's age is now three times that of his elder daughter. Five years back, his age was eight times that of his younger daughter. If the difference of ages of the two daughters is 5 years, what is the age of the father now?
Let the current age of the father be F, and current age of younger daughter, Y
Then elder daughter is currently:  , or 
Also, F – 5 = 8(Y – 5) ---- F – 5 = 8Y – 40 ------ F - 8Y = - 40 + 5 ---- F - 8Y = - 35 ------ eq (i)
Since elder is older, then:  -----  ---- eq (ii)
 ------ Substituting  for Y in eq (i)
3F - 8F + 120 = - 105 ------- Multiplying by LCD, 3
3F - 8F = - 105 - 120
- 5F = - 225
F, or father’s current age =  , or 
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