A mother is now three times as old as her daughter. 5 years ago, she was four times as old as her daughter. What is the current age of the daughter?
Given:
Mother’s current age is 3 times her daughter’s age.
5 years ago, the mother’s age was 4 times her daughter’s age.
Solution:
Let the daughter’s age be x
Mother's age = 3x.
5 years ago: 3x - 5 = 4(x - 5)
Now,
3x - 5 = 4(x - 5)
3x - 5 = 4x - 20
x = 15
Thus, the present age of daughter is 15 years.
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