Question
A set contains ten numbers. The average of the first
six numbers is (x − 4), and the average of the last three numbers is (x + 2). The average of the entire set is 'x'. If the 7th number of the set is 40, then find the value of 'x'.Solution
Sum of the numbers of set = 10x Sum of first 6 numbers = 6(x − 4) = 6x − 24 Sum of last 3 numbers = 3(x + 2) = 3x + 6 ATP, 6x − 24 + 40 + 3x + 6 = 10x 9x + 22 = 10x x = 22
More Average Questions
What value should come in the place of (?) in the following number series?
178, ?, 692, 861, 982, 106331Â Â Â 40Â Â Â 51Â Â Â 64Â Â Â 79Â Â Â Â ?
What will come in place of the question mark (?) in the following series?
92, 153, 220, ?, 364, 443
32, 48, 72, 108, ?, 243
10, 10, 15, 30, 75, ?
17, 36, 65, 104, 153, ?
12, 16, ?, 48, 76, 112
114, 146, 210, 306, 434, ?
What will come in place of (?) Question mark in the given number series.
10, 15, 30, 75, 225, 787.5, ?
5, 18, 39, ?, 105, 150
Relevant for Exams:
