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There are 4 consecutive odd numbers (...

There are 4 consecutive odd numbers `(x_1,\ x_2,\ x_3\ a n d\ x_4)` and three consecutive even numbers (`y_1,\ y_2\ a n d\ y_3)` . The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of `x_1,\ x_2,\ x_3` and `x_4` ? (a) 30 (b) 38 (c) 32 (d) 34

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Step by step text solution for There are 4 consecutive odd numbers (x_1,\ x_2,\ x_3\ a n d\ x_4) and three consecutive even numbers (y_1,\ y_2\ a n d\ y_3) . The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x_1,\ x_2,\ x_3 and x_4 ? (a) 30 (b) 38 (c) 32 (d) 34 by MATHS experts to help you in doubts & scoring excellent marks in Class 14 exams.

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Knowledge Check

  • The sum of three consecutive even numbers is 28 more than the average of these three numbers. Then the smallest of these three numbers is

    A
    6
    B
    12
    C
    14
    D
    16

  • The average of four consecutive odd natural numbers is eight less than the average of three consecutive even natural numbers. If the sum of these three even numbers is equal to the sum of above four odd numbers, then the average of four original odd numbers is:

    A
    24
    B
    18
    C
    32
    D
    36

  • The average of three consecutive odd numbers is 52 more than 1/3 rd of the largest of these numbers. What is the smallest of these numbers ?

    A
    79
    B
    75
    C
    81
    D
    77

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