The average of the 4-digit numbers 1x44, x345, 3356, and 41x3 is 2767. What is the average of 6x, 5x + 3, and 7x + 3?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 14.
Total sum = 4 × 2767 = 11068
1x44 = 1044 + 100x
x345 = 345 + 1000x
41x3 = 4103 + 10x
(1044 + 345 + 3356 + 4103) + (100x + 1000x + 10x) = 11068
⇒ 8848 + 1110x = 11068
⇒ 1110x = 2220
⇒ x = 2
Average = (6 × 2) + (5 × 2 + 3) + (7 × 2 + 3)
= (12 + 13 + 17)/3
= 14