The average of 5 numbers is 13. If the average of 4 of these numbers is 10 what is the fifth number?
Answers
Answer:
sum 4 numbers / 4 = 10 (sum 4 numbers is 40)
sum 5 numbers / 5 = 13 (sum 5 numbers is 65)
difference of the sums is 25
sum 4 numbers + 25 = 40 + 25 = 65
65/5 = 13
the fifth number is 25
Answer: Fifth number is 25.
Step-by-step explanation:
To find the fifth number, we can use the information that the average of 5 numbers is 13 and the average of 4 of these numbers is 10. We can use this information to set up an equation and solve for the fifth number.
Let's call the fifth number "x". Then the sum of all 5 numbers is 5 * 13 = 65. And the sum of the first 4 numbers is 4 * 10 = 40. Therefore, the sum of these 4 numbers and the fifth number is 40 + x = 65.
Solving for x, we get x = 65 - 40 = 25. So the fifth number is 25.
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