Question
Download Solution PDFOf the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 66, find the smallest number.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 66.
Concept used:
Average = Sum of Observation/Number of Observations
Calculation:
According to the question,
1st : 2nd = 1 : 2
And 2nd : 3rd = 3 : 1
1st : 2nd : 3rd
1 : 2 : 2
3 : 3 : 1
3 : 6 : 2
1st : 2nd : 3rd = 3 : 6 : 2
Average = (3x + 6x + 2x)/2
⇒ 66 = 11x/3
⇒ x = 18
Numbers are 54, 108 and 36.
∴ The smallest number is 36.
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