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 :
Correct Answer: Option B
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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