4 years ago Tina is 18 yrs younger than ruchi.If the present age of Tina and ruchi is 50 years.Then the present age of the ration between tina and ruchi?

Question

Answer

Given Information:
- 4 years ago, Tina was 18 years younger than Ruchi.
- The present age of Tina and Ruchi is 50 years.

To Find:
- The present age ratio between Tina and Ruchi.

Solution:

Step 1: Calculate their ages 4 years ago
- Let's assume Tina's age 4 years ago was T.
- Ruchi's age 4 years ago = T + 18, as Tina was 18 years younger than Ruchi.
- So, their ages 4 years ago were T and T + 18.

Step 2: Calculate their present ages
- Tina's present age = T + 4, as 4 years have passed since.
- Ruchi's present age = T + 18 + 4 = T + 22.

Step 3: Set up an equation
- According to the given information, Tina and Ruchi's present ages are 50 years.
- So, we can write the equation as:
T + 4 + T + 22 = 50.

Step 4: Solve the equation
- Simplifying the equation, we get:
2T + 26 = 50.
2T = 50 - 26.
2T = 24.
T = 12.

Step 5: Calculate the present age ratio
- Tina's present age = T + 4 = 12 + 4 = 16 years.
- Ruchi's present age = T + 22 = 12 + 22 = 34 years.
- The present age ratio between Tina and Ruchi is 16:34, which can be simplified to 8:17 by dividing both terms by 2.

Answer:
- The present age ratio between Tina and Ruchi is 8:17.

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