A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average…

Question

A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?

1. A. 385 hectares
2. B. 315 hectares (Correct answer)
3. C. 225 hectares
4. D. 175 hectares

Correct Answer

Option B — 315 hectares

Detailed Solution & Explanation

The correct answer is 315 hectares.

Key Points

• Let the two parts be x and y. x + y = 700. Average = 350.
• Difference = (1/5) × 350 = 70. So x − y = 70 and x + y = 700.
• Solving: x = 385, y = 315.
• The smaller part = 315 hectares.