The sum of two numbers is 22. Three times one number increased by five is 35. What are the two numbers?
Responses
12
12
15
15
16
16
6
6
10
10
7
7
11
11
I apologize for the previous response. Let me provide a step-by-step solution to the problem:
Let's say the two numbers are x and y, where x is the unknown number and y is the other number.
From the first sentence, we know that:
x + y = 22 (Equation 1)
From the second sentence, we know that:
3x + 5 = 35
Simplifying this equation, we get:
3x = 30
x = 10
Substituting x = 10 in Equation 1, we get:
10 + y = 22
y = 12
Therefore, the two numbers are 10 and 12.
To solve this problem, we can set up a system of equations based on the given information.
Let's call the two numbers x and y.
From the first sentence, "The sum of two numbers is 22," we can write the equation: x + y = 22.
From the second sentence, "Three times one number increased by five is 35," we can write the equation: 3x + 5 = 35.
To find the values of x and y, we can solve this system of equations. There are various methods to solve a system of equations, such as substitution or elimination. Let's use the method of substitution in this case.
First, solve the second equation for x:
3x + 5 = 35
3x = 35 - 5
3x = 30
x = 10
Now that we have the value of x, we can substitute it into the first equation to find y:
x + y = 22
10 + y = 22
y = 22 - 10
y = 12
Therefore, the two numbers are 10 and 12.
Useless to just state an answer, I thought your purpose was to help
students?