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The difference between the square of the present age (in years) of a mother and her daughter is 875. 5 years later, the ratio of their ages will be 7 : 2. What is the present age (in years) of the mother?

  • a)
    30

  • b)
    35

  • c)
    45

  • d)
    25

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The difference between the square of the present age (in years) of a m...
After 5 years, ratio of the age of Mother : Daughter = 7 : 2
Let the present age of Mother = 7x – 5 and Daughter = 2x – 5
(7x – 5)2 – (2x – 5)2 = 875
49x2 + 25 −70x – 4x2 – 25 + 20x = 875
45x2 – 51x – 875 = 0
9x2 – 10x – 175 = 0
9x2 – 45x + 35x – 175 = 0
x = 5
Present age of Mother = 7x – 5 = 30 years
Daughter = 2x – 5 = 5 years
Hence, option A is correct.
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