On the three numbers, the second is one-third of the first and is also three-fourths of the third number. If the average of three numbers is 112, then what is the smallest number?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 63.
Given:
The average of three numbers = 112
Concept Used:
Average = sum of numbers/total numbers
Explanation:
Total of three numbers = 112 × 3 = 336
Let 2nd number be 3a.
According to the question -
1st number × 1/3 = 3a
⇒ 1st number = 3a × 3 = 9a
3rd number × ¾ = 3a
⇒ 3rd number = 3a × = 4a
⇒ 9a + 3a + 4a = 336
⇒ 16a = 336
⇒ a = = 21
Smallest among three = 3 × 21 = 63
Hence the smallest number is 63.