Multiple choice

There are three numbers. If 3rd number is 50% more than that of 1st number and 25% more than that of 2nd number then find out the average of all three numbers (given that smallest number = 30)

  1. 37

  2. 40

  3. 35

  4. 38

  5. 42
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A Correct answer
Explanation

Smallest number = 30. If 3rd is 50% more than 1st, 3rd = 1.5 * 1st. If 3rd is 25% more than 2nd, 3rd = 1.25 * 2nd. If 1st = 30, 3rd = 45. Then 45 = 1.25 * 2nd, so 2nd = 36. Average = (30 + 36 + 45) / 3 = 111 / 3 = 37.

AI explanation

Let the first number be 100a and the second number be 100b; the third number is 150% more than the first, meaning it equals 150a, and it is 25% more than the second, meaning it equals 125b. Equating the two expressions for the third number gives 150a = 125b, which simplifies to the ratio 6:5 between a and b. The first number is 100a and the second is 100b = 120a, making the first number the smallest at 30, so a = 0.3. The three numbers are 30, 36, and 45, and their average is (30 + 36 + 45) / 3, which equals 37.

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