A large field of 900 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
Explanation:
Let the areas of the two parts be x and (900-x) hectares
therefore, [x-(900-x)]=1/5[x+(900-x)/2]
=> 2x-900=90
=>x=495
Hence, area of smaller part = (900 - x) = (900 – 495) = 405 hectares.