Question

The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and let y represent the second number. What are the two numbers? Use the table to guess and check.

Answer 1

By setting up equations based on the given conditions, the two numbers are found to be 27 (the first number) and 58 (the second number).

Step-by-step explanation:

To solve this problem, we have two conditions given: the sum of two numbers is 85, and the second number is 4 more than twice the first number. We translate these into equations using x and y to represent the first and second numbers, respectively:

1. x + y = 85 (The sum of the two numbers is 85.)
2. y = 2x + 4 (The second number is 4 more than twice the first number.)

By substituting the second equation into the first, we can find the value of x.

x + (2x + 4) = 85

3x + 4 = 85

3x = 81

x = 27

Now, we use the value of x to find y.

y = 2(27) + 4

y = 58

Therefore, the two numbers are x = 27 and y = 58.