Problem: The sum of two consecutive numbers is 53. Find the numbers.

Solution:

Step 1: Define the variables
Let x be the first consecutive number, then the second consecutive number is x+1.

Step 2: Write the equation
According to the problem, the sum of the two consecutive numbers is 53. Therefore, we can write the equation as:

x + (x+1) = 53

Step 3: Simplify the equation
Simplifying the equation, we get:

2x + 1 = 53

Step 4: Solve for x
Subtracting 1 from both sides, we get:

2x = 52

Dividing both sides by 2, we get:

x = 26

Step 5: Find the second consecutive number
Since the second consecutive number is x+1, we can find it by adding 1 to x. Therefore, the second consecutive number is:

x+1 = 26+1 = 27

Step 6: Check the answer
To check if our answer is correct, we can add the two consecutive numbers:

26 + 27 = 53

Therefore, the two consecutive numbers are 26 and 27.

Answer: The two consecutive numbers are 26 and 27.

Let the first number be x.Let the second number be x+1.According to the question,x+x+1=53;2x+1 =53;2x =52;x =26.So the two consecutive numbers are 26 and 27.