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Five numbers have an average of 90. Four of the numbers are 87, 93, 89, and 85. What is the remaining number?

Answer 1

Audrey Allen

Remaining number is #96#

The sum divided by the count determines the average of a given set of numbers.

Here we have five numbers and as their average is #90#,

their sum must be #5xx90=450#

Bur four of them add up to #87+93+89+85=354#

Hence, remaining number is #450-354=96#

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Answer 2

Audrey Andrews

To find the remaining number, first calculate the total sum of the five numbers using the formula: sum = average × number of terms. Then subtract the sum of the four known numbers from this total to find the remaining number.

Average = (87 + 93 + 89 + 85 + x) / 5 = 90

Sum = 90 × 5 = 450

450 - (87 + 93 + 89 + 85) = 450 - 354 = 96

Therefore, the remaining number is 96.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.