Multiple choice

If the average age of mother and her daughter is 34.5 years while the age of the daughter is half that of the mother, what is mother's age?

  1. 48 years

  2. 69 years

  3. 56 years

  4. 46 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the daughter's age be x. Then the mother's age is 2x. The average age is (x + 2x) / 2 = 34.5, which simplifies to 3x = 69, so x = 23. The mother's age is 2 * 23 = 46 years.

AI explanation

Let the daughter's age be d and the mother's age be 2d. Using the average formula, d plus 2d divided by 2 equals 34.5. Solving 3d divided by 2 equals 34.5 gives 3d equals 69, so d equals 23. The mother's age is 2 times 23, which is 46 years.

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