Question:
A father is four times as old as his daughter. In 6 years he will be three times as old as she is now. How old is the daughter now
Answer:
Let the age of daughter = x
So, the age of father = 4x
After 6, years,
Age of daughter = x + 6
and age of father = 4x + 6
Given, in 6 years the age of father will be three times as old as her daughter.
So, 4x + 6 = 3(x + 6)
=> 4x + 6 = 3x + 18
=> 4x = 3x + 18 - 6
=> 4x = 3x + 12
=> 4x - 3x = 12
=> x = 12
So, the age of daughter is 12 years.
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