A larger number is three more than twice the smaller number is the difference between the 2 is 19 what are the numbers
2 s + 3 = s + 19
Let's break down the problem step by step.
Step 1: Understand the problem.
We need to find two numbers, a larger number and a smaller number. The larger number is three more than twice the smaller number. The difference between the two numbers is 19.
Step 2: Assign variables.
Let's assign variables to the unknown numbers. Let's call the smaller number "x" and the larger number "y".
Step 3: Translate the given information into equations.
We know that the larger number is three more than twice the smaller number, so we can write the equation: y = 2x + 3.
We also know that the difference between the two numbers is 19, so we can write the equation: y - x = 19.
Step 4: Solve the system of equations.
To find the values of x and y, we can solve the system of equations formed by equations (1) and (2).
Substituting equation (1) into equation (2), we have:
(2x + 3) - x = 19
x + 3 = 19
x = 19 - 3
x = 16
Substituting the value of x into equation (1), we have:
y = 2(16) + 3
y = 32 + 3
y = 35
So, the smaller number is 16 and the larger number is 35.