Multiple choice

Rita's present age is four times her daughter's present age and two-thirds of her mother's present age. The total of the present ages of all of them is 154 years. What is the difference between Rita's an her mother's present ages?

  1. 28 years

  2. 34 years

  3. 32 years

  4. Cannot be determined

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

Let daughter's age = x. Rita = 4x. Mother = 4x / (2/3) = 6x. Total = x + 4x + 6x = 11x = 154. x = 14. Rita = 56, Mother = 84. Difference = 84 - 56 = 28.

AI explanation

Let Rita's present age be R; since it is two-thirds of her mother's age, her mother's age is 1.5R. Because Rita's age is four times her daughter's age, her daughter's age is 0.25R. The total of their present ages is R + 1.5R + 0.25R = 154, so 2.75R = 154, which means R = 56. The difference between Rita's and her mother's ages is 1.5(56) - 56 = 28 years.

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