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1. 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 :

  • A. 24
  • B. 24
  • C. 24
  • D. 24

Answer: Option B

Explanation:

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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