Question

Zoe is thinking of two numbers. Adding 4 times the first number and 6 times the second number gives a total of 22. Also, adding 7 times the first number and 9 times the second number gives 34. What are the two numbers?

Answer 1

To solve this problem, set up a system of equations with two variables representing the numbers. Solve the system of equations to find the values of the numbers.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's assume that the first number is x and the second number is y.

From the given information, we can write two equations:

4x + 6y = 22 (Equation 1)

7x + 9y = 34 (Equation 2)

We can solve this system of equations using substitution or elimination method to find the values of x and y.

By solving these equations, we find x = 2 and y = 3. Therefore, the two numbers are 2 and 3.