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The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x ?
  • a)
    570
  • b)
    513
  • c)
    214
  • d)
    155
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The sum of three numbers is 855. One of the numbers, x, is 50% more th...
Choice B is correct. One of the three numbers is x; let the other two numbers be y and z. Since the sum of three numbers is 855, the equation x + y + z = 855 is true. The statement that x is 50% more than the sum of the other two numbers can be represented as x = 1.5(y + z), or x/1.5 = y + z. Substituting  x/1.5 for y + z in x + y + z = 855 gives x + x/1.5 = 855. This last equation can be rewritten as x + 2x/3 = 855, or 5x/3 = 855. Therefore, x equals 3/5 × 855 = 513.
Choices A, C, and D are incorrect and may be the result of calculation errors.
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The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x ?a)570b)513c)214d)155Correct answer is option 'B'. Can you explain this answer?
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