two consecutive integers have a sum of 133. Find the integers

Question

two consecutive integers have a sum of 133. Find the integers

Answer 1

If the two numbers are consecutive, you know they're one apart. (Like 3 and 4 are consecutive because 3+1=4)

 

So let's let x be the smaller number and x+1 be the larger number.

 

You know that their sum is 133, so let's add them:

 

x + (x+1) = 133

simplify the left

2x + 1 = 133

subtract one from both sides

2x = 132

divide both sides by two

x = 66.

 

You are not done.

 

Remember x is the smaller number.

So the smaller number is 66 and the larger is 67.

 

And is 66+67 = 133?

 

Yes. So the two numbers are 66 and 67. 

Answer 2

Hi Kossi, two consecutive integers means numbers like 2, 3 or -3, -2.

 

Let x represent the first number. the next consecutive number will be x + 1.

 

The equation becomes:  x + (x + 1) = 133.

 

Solve for x:

 

x + (x + 1) = 133

 

x + x + 1 = 133

 

2x + 1 = 133

 

Subtract 1 from both sides:

 

2x = 132

 

Divide both sides by 2:

 

x = 66

 

x + 1 = 67.

 

Solution:

 

The two consecutive numbers adding up to 133 are 66 and 67.

 

Questions?