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

3 answers

11
Useless to just state an answer, I thought your purpose was to help
students?
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.