Final answer:
The respective ratio between the ages of Rani and Moni is 6:7. After 4 years, the ratio will be 7:8.
Step-by-step explanation:
In this question, we are given that the respective ratio between the present ages of Rani and Moni is 6:7. We are also given that Moni is 4 years older than Rani. Let's assume the present age of Rani is 6x and the present age of Moni is 7x.
Since Moni is 4 years older than Rani, we can write the equation 7x = 6x + 4. Solving this equation, we find x = 4.
After 4 years, the age of Rani will be 6x + 4 = 6(4) + 4 = 28 years, and the age of Moni will be 7x + 4 = 7(4) + 4 = 32 years. Therefore, the respective ratio of the ages of Rani and Moni after 4 years is 28:32, which simplifies to 7:8.