“The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74. Find the equation.” Hint: x = smaller number and x + 4 = larger number
Let's create an equation using the given information.
We are told that the larger number (x + 4) is four more than the smaller number (x), so we can write:
x + 4 = x + 4
The sum of the numbers is 74, so we can also write:
x + (x + 4) = 74
Now, we can simplify the equation:
2x + 4 = 74
Subtracting 4 from both sides of the equation:
2x = 70
Dividing both sides of the equation by 2:
x = 35
Therefore, the equation is x + 4 = 35 + 4.
To find the equation, let's assign variables to the numbers:
Let x = smaller number
Then, x + 4 = larger number
According to the given information, we know that the sum of the numbers is 74.
So, we can set up the equation:
x + (x + 4) = 74
Now, let's solve the equation step by step:
Combine like terms:
2x + 4 = 74
Subtract 4 from both sides:
2x = 70
Divide both sides by 2:
x = 35
Therefore, the equation is x + (x + 4) = 74, where x = 35.
To find the equation, we can use the given information about the relationship between the two numbers. Let's assign variables to the numbers:
Let x be the smaller number
Then the larger number is x + 4
According to the problem, the larger number is four more than the smaller number, which can be written as:
x + 4 = the larger number
Now we know that the sum of the two numbers is 74. We can write this information in equation form as:
x + (x + 4) = 74
Simplifying the equation:
Combine like terms: 2x + 4 = 74
Subtract 4 from both sides: 2x = 70
Divide both sides by 2: x = 35
Therefore, the equation is 2x + 4 = 74.