Three number are in the ratio 1/2 : 2/3 : 3/4. The difference between the greatest and the smallest number is 27. The average of the three number is:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 69
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Application |
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Average = (Sum of numbers)/Total Numbers Given: Ratio of three numbers = 1/2 : 2/3 : 3/4 ⇒6 : 8 : 9 Let the numbers be 6x, 8x and 9x Since difference between the greatest and the smallest number = 27 ⇒ 9x – 6x = 27 ⇒ 3x = 27 ⇒ x = 9 The first number = 6x = 6 × 9 = 54 The Second number = 8x = 8 × 9 = 72 The third number = 9x = 9 × 9 = 81 Sum of three numbers = 54 + 72 + 81 = 207 Hence, Average = 207/3 = 69 |