Question

Seven number with average 8 placed in the circles the sum of four numbers in each of two lines is the same and equal to 30 find the value of x

Answer 1

The value of x is determined by realizing that it is the shared number in the intersection of the two lines with a sum of 30.

Since the overall sum is 56 and each line sums to 30, subtracting the lines' total sum from the overall sum gives us x = 4.

Step-by-step explanation:

To solve the puzzle, we must assume there are seven numbers with an average of 8 and the sum of certain configurations equalling 30.

This implies that their total sum is 7 times 8, which is 56.

With the information that two lines with four numbers each sum up to 30, that leaves one number as a common point of intersection for both lines

Let's define this common number as x.

Considering that the sum of all seven numbers is 56, and two lines sum to 30 each, we can express it like so:

1. 30 + 30 - x = 56
2. 60 - x = 56
3. x = 60 - 56
4. x = 4

So, the value of x in this puzzle is 4.