Multiple choice

The average age of three persons is 60 years. The age of the first person is $\dfrac {1}{4}$ of the total age of the other persons. What is the age of the first person?

  1. $46$
  2. $56$
  3. $36$
  4. $66$
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C Correct answer
Explanation

Let the ages be A, B, and C. The sum A + B + C = 180. Given A = 1/4(B + C), we substitute B + C = 4A into the sum: A + 4A = 180, so 5A = 180, and A = 36.

AI explanation

The total age of all three persons is 3 multiplied by 60, which equals 180 years. Let the age of the first person be x, which is one fourth of the total age of the other two persons. Therefore, x equals one fourth of (180 minus x). Solving the equation 4x equals 180 minus x gives 5x equals 180, so x equals 36. The age of the first person is 36.

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