Multiple choice

Ten years ago, Nidhi's mother Sita was 4 times older than her daughter. After 10 years, the mother will be twice older than the daughter. What is the present age of Sita?

  1. 40 years

  2. 50 years

  3. 30 years

  4. 45 years

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let S and D be present ages. (S-10) = 4(D-10) => S-10 = 4D-40 => S = 4D-30. (S+10) = 2(D+10) => S+10 = 2D+20 => S = 2D+10. 4D-30 = 2D+10 => 2D = 40 => D = 20. S = 2(20)+10 = 50.

AI explanation

Let Nidhi's age 10 years ago be X, making Sita's age 4X at that time. After 10 years from the present, their ages form the equation 4X + 20 = 2(X + 20); solving this gives 2X = 20, so X is 10. Sita's present age is calculated as 4X + 10, which equals 50 years.

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