The ratio of Rita's age to her mother's age is 8:3. The difference of their ages is 35 years. The ratio of their ages after 4 years will be?

  1. 12:5

  2. 17:8

  3. 32:17

  4. 14:7


Correct Option: A

AI Explanation

To solve this problem, we can set up a system of equations based on the given information.

Let's assume Rita's age is represented by "8x" and her mother's age is represented by "3x". We can set up the following equation based on the given ratio:

8x / 3x = 8/3

Now, let's set up another equation based on the given difference of their ages:

8x - 3x = 35

Simplifying the equation, we have:

5x = 35

Dividing both sides by 5, we get:

x = 7

Now, we can calculate Rita's current age:

Rita's age = 8x = 8(7) = 56

And her mother's current age:

Mother's age = 3x = 3(7) = 21

After 4 years, Rita's age will be 56 + 4 = 60, and her mother's age will be 21 + 4 = 25.

The ratio of their ages after 4 years is 60:25, which simplifies to 12:5.

Therefore, the correct answer is A) 12:5.

Find more quizzes: