The average of five integers is 48. The average of the first four integers is 50% of the 5th integer. The 5th integer is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 80.
We know,
Average = Sum of observation/Number of observations
According to the question,
Let the five integers be A, B, C, D, and E.
⇒ (A + B + C + D + E)/5 = 48
⇒ (A + B + C + D + E) = 240
⇒ (A + B + C + D) = 240 - E
Now,
The average of the first four integers is 50% of the 5th integer
⇒ (A + B + C + D)/4 = 50% of E
⇒ (240 - E)/4 = 1/2 × E
⇒ 240 - E = 2E
⇒ 3E = 240
⇒ E = 80
Hence, the Value of the 5th integer is 80.