A, B, C, D and E are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers was deleted?
Solution
Correct Answer: Option D
Let, the numbers are A = x, B = x + 1, C = x + 2, D = x + 3, E = x + 4
sum = x + x + 1 + x + 2 + x + 3 + x + 4 = 5x + 10
Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%.
new sum = sum - 0.2 sum
= 0.8 sum
= 0.8 (5x + 10)
= 4x + 8
deleted number = 5x + 10 - 4x - 8 = x + 2 = C
sum = x + x + 1 + x + 2 + x + 3 + x + 4 = 5x + 10
Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%.
new sum = sum - 0.2 sum
= 0.8 sum
= 0.8 (5x + 10)
= 4x + 8
deleted number = 5x + 10 - 4x - 8 = x + 2 = C
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