Answer :
Final answer:
To find two consecutive integers that sum to 193, we set up an equation x + (x + 1) = 193. Simplifying and solving for x, we find the integers to be 96 and 97.
Explanation:
The question requires solving a basic algebra problem involving consecutive integers. Consecutive integers are numbers that follow each other in order, such as 1, 2, 3, and so on. To find two such numbers that add up to 193, one can set up an equation where one integer is represented as x and the next consecutive integer as x + 1. The equation to solve then becomes x + (x + 1) = 193.
When we combine like terms, we get 2x + 1 = 193. To find the value of x, we subtract 1 from both sides, yielding 2x = 192. Dividing both sides by 2, we find that x = 96. Therefore, the two consecutive integers are 96 and 97.
We can represent the first number as x and x + 1 for the next number. And when adding both of them together you get 193.
x + x + 1 = 193
Add the x's together
2x + 1 = 193
Subtract both sides by 1
2x = 192
Divide both sides by 2
x = 96
And for x + 1
x + 1 = 97
So, when taking the sum of 96 and 97 you get 193.
x + x + 1 = 193
Add the x's together
2x + 1 = 193
Subtract both sides by 1
2x = 192
Divide both sides by 2
x = 96
And for x + 1
x + 1 = 97
So, when taking the sum of 96 and 97 you get 193.
