Question

One number is 5 less than a second number. twice the second number is 23 more than 3 times the first. find the two numbers.

Answer 1

To solve this problem, we can set up a system of equations and use substitution to find the two numbers.

Step-by-step explanation:

To solve the problem, we can set up a system of equations using the given information. Let's call the first number x and the second number y.

The first equation is: x = y - 5

The second equation is: 2y = 3x + 23

Now we can substitute the value of x from the first equation into the second equation:

2y = 3(y - 5) + 23

Simplifying the equation gives us: 2y = 3y - 15 + 23

Combine like terms: -y = 8

Dividing both sides of the equation by -1 gives us: y = -8

Substituting the value of y into the first equation gives us: x = -8 - 5

Simplifying further gives us: x = -13

Therefore, the two numbers are -13 and -8.