Question

The sum of an integer in two times next consecutive integer is 29 find the value of the greatest integer

Answer 1

To find the value of the greatest integer, we can represent the first integer as x and express the problem in terms of x. By solving the equation, we find that the value of the greatest integer is 9.

Step-by-step explanation:

To solve this problem, let's represent the first integer as x. The next consecutive integer is x + 1. According to the given information, the sum of the first integer and two times the next consecutive integer is 29. We can write this as:

x + 2(x + 1) = 29

Simplifying the equation:

x + 2x + 2 = 29

Combining like terms:

3x + 2 = 29

Subtracting 2 from both sides:

3x = 27

Dividing both sides by 3:

x = 9

So, the value of the greatest integer is x, which is 9.

Answer 2

The greatest integer, when the sum of an integer and two times the next consecutive integer is 29, can be found by setting up the equation x + 2(x+1) = 29 and solving for x, which results in the greatest integer being 10.

Step-by-step explanation:

To solve the problem of finding the greatest integer when the sum of an integer and two times the next consecutive integer is 29, we can set up an equation. Let's denote the first integer as x and the consecutive integer as x+1. The problem can then be written as:

x + 2(x+1) = 29

Solving for x:

1. x + 2x + 2 = 29
2. 3x + 2 = 29
3. 3x = 27
4. x = 9

Since x is the first integer, the next consecutive integer is x+1, which is 9+1 = 10. Therefore, the greatest integer is 10.