Question
Download Solution PDFOut of four numbers, the average of the first three is 15 and that of the last three is 16. If the last number is 19, then the first number is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average of the first three numbers = 15
The average of the last three numbers = 16
The last number = 19
Formula used:
Sum of n numbers = Average × n
Calculation:
Sum of the first three numbers = 15 × 3
⇒ 45
Sum of the last three numbers = 16 × 3
⇒ 48
Let the four numbers be a, b, c, d. Given the last number d = 19.
⇒ b + c + 19 = 48
⇒ b + c = 48 - 19
⇒ b + c = 29
Sum of the first three numbers (a + b + c) = 45
⇒ a + 29 = 45
⇒ a = 45 - 29
⇒ a = 16
∴ The correct answer is option 4.
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