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54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :

24
34
44
54

Correct Answer: 34

Explanation:

Let the two parts be (54 - x) and x.

Then, 10 (54 - x) + 22x = 780

=> 12x = 240

=> x = 20.

Bigger part = (54 - x) = 34.

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