Question:
The average of four numbers is 48. If the first number is one-third of the sum of the remaining numbers, then the first number is:
The average of four numbers is 48. If the first number is one-third of the sum of the remaining numbers, then the first number is:
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Express other numbers in terms of the first number and use the average formula to solve.
Updated On: May 21, 2025
- 36
- 54
- 48
- 60
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The Correct Option is C
Solution and Explanation
Let the four numbers be x, a, b, and c, where x is the first number.
Average = \frac{x + a + b + c}{4} = 48 ⇒ x + a + b + c = 192.
Given, x = \frac{1}{3}(a + b + c).
Substitute in the sum:
\[x + a + b + c = 192\]
\[x + 3x = 192\] ⇒ \[4x = 192\] ⇒ \[x = 48\]
Hence, the first number is 48.
Average = \frac{x + a + b + c}{4} = 48 ⇒ x + a + b + c = 192.
Given, x = \frac{1}{3}(a + b + c).
Substitute in the sum:
\[x + a + b + c = 192\]
\[x + 3x = 192\] ⇒ \[4x = 192\] ⇒ \[x = 48\]
Hence, the first number is 48.
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