Question

11) The average of the four successive odd numbers is
34. What would be the value of the smallest of these
numbers?​

Answer 1

Answer

The average of the four successive odd numbers is 34.

explanation

Given - The average of the four successive odd numbers 34.

Find - The value of the smallest of these numbers.

Solution - Let the very first odd number be X. So the next three successive odd numbers will be X+2, X+4 and X+6 respectively.

As per the question average of these successive odd numbers is 34. Therefore, (X + X + 2 + X + 4 + X + 6)/4 = 34.

Solving the equation-

(4x + 12)/4= 34

4x + 12 = 34*4

4x + 12 = 136

4x = 136 - 12

4x = 124

X = 124/4

X = 31.

So the numbers are - X = 31, X + 2 = 33, x + 4 = 35 and X + 6 = 37.

Hence, the value of smallest number in given numbers is 31.