Question

Rajapur has a population of 88000, which is decreasing at the rate of 1200 per Year. Rampur has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of the two villages, is equal?

• A. 23
• B. 13
• C. 22
• D. 12

Answer 1

The Correct Option is A

Setting up the equation: 

The given equation is:

\[ 88000 - 1200t = 42000 + 800t \]

Step 1: Bring like terms together:

\[ 88000 - 42000 = 1200t + 800t \]

Step 2: Simplify the equation:

\[ 46000 = 2000t \]

Step 3: Solve for \( t \):

\[ t = \frac{46000}{2000} = 23 \text{ years} \]

Thus, the correct answer is 23 years.