Multiple choice

At present Geeta is eight times her daughter's age. Eight years from now, the ratio of the ages of Geeta and her daughter will be 10 : 3 respectively. What is Geeta's present age ?

  1. 30

  2. 31

  3. 32

  4. 33

  5. 34
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the daughter's present age be x, making Geeta's present age 8x. In eight years, their ages will be 8x + 8 and x + 8, with a ratio of 10 to 3. Solving the equation 3(8x + 8) = 10(x + 8) gives x = 4, which means Geeta's present age is 32.

AI explanation

Let the daughter's present age be x, making Geeta's present age 8x. Eight years from now, their ages will be x plus 8 and 8x plus 8, giving the proportion (8x plus 8) divided by (x plus 8) equals 10 divided by 3. Cross multiplying to solve this linear equation yields 24x plus 24 equals 10x plus 80. Simplifying this gives 14x equals 56, so x equals 4, and Geeta's present age is 8 times 4, which is 32 years.

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