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Math Help - Anybody check my number problems solutions please help me?

  1. #1
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    Anybody check my number problems solutions please help me?

    .1)If the average of 6 numbers is 21 Ĺ, what is the average of the first 5 numbers?

    2.)The sum of 3 consecutive integers is 549. What is the middle number?

    3) When a number is added to 4 times itself the result is 16 more than the number?

    4.) The average of 7 numbers is 39. Two of the numbers whose sum is 83 are removed. What is the average of the remaining numbers?

    5.) In a 100-item test, Ricky didnít answer 6 questions. His number of correct answers is 4 more than 4 times his mistakes. How many correct answers did he get?



    6.) The average of 12 numbers is 54. If 65 and 85 are added to the set, what will be the resulting average?

    7.) The sum of two numbers is 157. One number is 17 more than the other. Find the product of the two numbers.

    8.) Pat ate a total of 100 peanuts over a period of 5 days. Each day she ate 6 more peanuts than on the previous day. How many peanuts did Pat ate at the first day?

    9.) Two numbers when added together gives you 246. The larger number is 24 less than twice the smaller number. What are the two numbers?


    my solutions

    1) 21.5 2) 183 3) 4 4) 38 5) 76 6) 57 7) 6090 8) 8 9) 90, 156

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  2. #2
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    Quote Originally Posted by sri340 View Post
    .1)If the average of 6 numbers is 21 Ĺ, what is the average of the first 5 numbers?
    I don't see any way to tell, without more information. The middle four numbers could all be 21.5, and the first and sixth numbers could be the same amount above and below this value, so the average of the first five numbers would be something lower. But I see no way of telling, from what has been provided.

    Quote Originally Posted by sri340 View Post
    2.)The sum of 3 consecutive integers is 549. What is the middle number?
    You can check this by added. Do your three numbers (the one you list, plus the one below and the one above) sum to the given value?

    Quote Originally Posted by sri340 View Post
    3) When a number is added to 4 times itself the result is 16 more than the number?
    Plug your answer in, and see if it works.

    Quote Originally Posted by sri340 View Post
    4.) The average of 7 numbers is 39. Two of the numbers whose sum is 83 are removed. What is the average of the remaining numbers?
    Yes.

    Quote Originally Posted by sri340 View Post
    5.) In a 100-item test, Ricky didnít answer 6 questions. His number of correct answers is 4 more than 4 times his mistakes. How many correct answers did he get?
    He answered 94 questions. Unfortunately, this is not divisible by 5. The number of mistakes, plus four times as many, is some multiple of 5. So there is an error somewhere here.

    Quote Originally Posted by sri340 View Post
    6.) The average of 12 numbers is 54. If 65 and 85 are added to the set, what will be the resulting average?
    Yes.

    Quote Originally Posted by sri340 View Post
    7.) The sum of two numbers is 157. One number is 17 more than the other. Find the product of the two numbers.
    Plug your numbers in, and see if they work.

    Quote Originally Posted by sri340 View Post
    8.) Pat ate a total of 100 peanuts over a period of 5 days. Each day she ate 6 more peanuts than on the previous day. How many peanuts did Pat ate at the first day?
    Plug your numbers in, and see if they work.

    Quote Originally Posted by sri340 View Post
    9.) Two numbers when added together gives you 246. The larger number is 24 less than twice the smaller number. What are the two numbers?
    Plug your numbers in, and see if they work.

    The answer to any "solving" exercise can be checked by plugging it back into the original problem. So you can check your own answers!
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  3. #3
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    I agree with your answers to numbers 2 and 3.

    You should really post each question in a separate thread with your workings not just the answer.
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  4. #4
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    sri, please take the trouble to copy the problems completely and correctly.

    Are we to assume that the numbers from which the average is taken form an arithmetic sequence? If so the the problems are doable.
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