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 :

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 34

x + y = 54 Or, x = (54 - y) 2n condition : 10x + 22y = 780 5x + 11y = 390 5 ( 54 - y) + 11y = 390 270 - 5y + 11y = 390 6y = 120 y = 20 x = ( 54 - 20) = 34
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