The average of $100$ numbers is $44$ . The average of these $100$ numbers and four other numbers is $50$ . What is the average of the four new numbers?

200

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300

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400

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500

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Solution

The correct option is A $200$
Sum of 100 numbers $= 100 \times 44 = 4400$
Sum of 104 numbers $= 104 \times 50 = 5200$
Sum of 4 numbers $= 5200 - 4400 = 800$
$∴$ Average of four new numbers $= \frac{800}{4} = 200$

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The average of 100 numbers is 44. The average of these 100 numbers and four other numbers is 50. What is the average of the four new numbers?

The correct option is A 200Sum of 100 numbers =100×44=4400Sum of 104 numbers =104×50=5200Sum of 4 numbers =5200−4400=800∴ Average of four new numbers =8004=200

The average of $100$ numbers is $44$ . The average of these $100$ numbers and four other numbers is $50$ . What is the average of the four new numbers?

The correct option is A $200$
Sum of 100 numbers $= 100 \times 44 = 4400$
Sum of 104 numbers $= 104 \times 50 = 5200$
Sum of 4 numbers $= 5200 - 4400 = 800$
$∴$ Average of four new numbers $= \frac{800}{4} = 200$