Multiple choice

The ratio of the present age of a mother to that of her daughter is 7 : 1. Four years ago, the ratio of their ages was 19 : 1. What will be the mother's age four years from now?

  1. 42 years

  2. 38 years

  3. 46 years

  4. 36 years

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

Let ages be 7x and x. (7x - 4) / (x - 4) = 19 / 1. 7x - 4 = 19x - 76. 12x = 72, x = 6. Present ages: Mother = 42, Daughter = 6. Four years from now, mother will be 42 + 4 = 46.

AI explanation

Let the present ages of the mother and daughter be 7x and x respectively. Four years ago, their ages were 7x - 4 and x - 4, so we write the equation (7x - 4) / (x - 4) = 19 / 1. Cross-multiplying yields 7x - 4 = 19x - 76, which simplifies to 12x = 72 and x = 6. The mother's present age is 7 multiplied by 6, which is 42 years, so four years from now she will be 46 years old.

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