The average of 5 numbers is 306.4. The average of the first two numbers is 431 and the average of the last two numbers is 214.5. What is the third number?

108

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321

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Cannot be determined

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None of the above

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Solution

The correct option is E None of the above
Here, total sum of 5 numbers =
5 $\times$ 306.4 = 1532
Total sum of first two numbers
= 2 $\times$ 431= 862
Total sum of last two numbers
= 2 $\times$ 214.5= 429
$∴$ Third number = 1532 — (862 + 429)= 241

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The average of 5 numbers is 306.4. The average of the first two numbers is 431 and the average of the last two numbers is 214.5. What is the third number?

The correct option is E None of the above Here, total sum of 5 numbers = 5 × 306.4 = 1532 Total sum of first two numbers = 2 × 431= 862 Total sum of last two numbers = 2 × 214.5= 429 ∴ Third number = 1532 — (862 + 429)= 241

The correct option is E None of the above
Here, total sum of 5 numbers =
5 $\times$ 306.4 = 1532
Total sum of first two numbers
= 2 $\times$ 431= 862
Total sum of last two numbers
= 2 $\times$ 214.5= 429
$∴$ Third number = 1532 — (862 + 429)= 241