ATQ, Let the four parts be x, y, z, and w. Denote the common result by k. From the conditions: 
Thus, we can express the parts in terms of k:
The sum of the parts is:
Simplifying this gives = 4k + k/2 = 45 Multiply the equation by 2 to get rid of the fraction = 8k+k = 90 Solving for 9k = 90 ⇒ k = 10 Finally, the first part x is = k − 2 = 10−2 = 8 Thus, the first part is 8.
The awardees will be chosen for his contributions in education, health and rural development.
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