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Out of four consecutive numbers, the sum of the first two numbers is equal to the fourth number. What is half of the sum of the four numbers?
Question

Out of four consecutive numbers, the sum of the first two numbers is equal to the fourth number. What is half of the sum of the four numbers?

A.

2

B.

9

C.

14

D.

7

Correct option is D

Given:
There are four consecutive numbers.
The sum of the first two numbers is equal to the fourth number.
Solution:
Let the four consecutive numbers be denoted as x, x+1, x+2, and x+3.
 According to the problem, the sum of the first two numbers is equal to the fourth number:
x + (x + 1) = x + 3
2x + 1 = x + 3
2x - x = 3 - 1
x = 2

Now, substitute x = 2 to find the four numbers:
- First number: x = 2
- Second number: x + 1 = 3
- Third number: x + 2 = 4
- Fourth number: x + 3 = 5
So, the four numbers are 2, 3, 4, and 5.

Sum of the four numbers= 2 + 3 + 4 + 5 = 14

Half of this sum = 14 / 2 = 7

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