Let's solve the problem step-by-step.
Problem:
The sum of two consecutive even integers is 74. Find the two numbers.
Step 1: Define the variables
Let the first even integer be xxx. Since the integers are consecutive even numbers, the next even integer will be x+2x+2x+2.
Step 2: Write the equation
The sum of the two integers is 74:
x+(x+2)=74x+(x+2)=74x+(x+2)=74
Step 3: Simplify and solve
2x+2=742x+2=742x+2=74
2x=74−22x=74-22x=74−2
2x=722x=722x=72
x=722=36x=\frac{72}{2}=36x=272=36
Step 4: Find the two numbers
- First integer: 363636
- Second integer: 36+2=3836+2=3836+2=38
Answer:
The two consecutive even integers are 36 and 38.
