The average of 15 numbers is 30, while the average of 13 of these numbers is 32. If the remaining two numbers are equal, then what is each of the two numbers?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 17
Given:
Average of 15 numbers = 30
Average of 13 numbers = 32
Concept Used:
Sum of terms = average of terms × number of terms
Explanation:
Let the two equal numbers = x
(Sum of the 13 numbers) + 2x = 450
Sum of the 13 numbers = 13 × 32 = 416
Thus, 416 + 2x = 450
⇒ 2x = 450 - 416
⇒ 2x = 34
Thus, x = 17
Hence each of the two numbers is 17.