Given:
Age ratio = 12:5.
Ten years hence, the mother will be twice as old as her daughter
Solution:
Let the present ages of the mother and daughter be 12x and 5x respectively.
In 10 years, the mother’s age will be 12x + 10 and the daughter’s age will be 5x + 10.
According to the problem:
12x + 10 = 2(5x + 10).
12x + 10 = 10x + 20.
2x = 10 → x = 5.
Thus, the mother’s current age is 12x = 60 and the daughter’s current age is 5x = 25.
Their sum is 60 + 25 = 85.
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