158k views
3 votes
I am thinking of two numbers. Twice the first number added to four times the second number is 22. The first number is one less than twice the second number. Find the two numbers?

User Oceanic
by
7.7k points

1 Answer

5 votes

Final answer:

To find the two numbers, you can set up a system of equations and solve for the variables. The first number is 5 and the second number is 3.

Step-by-step explanation:

To find the two numbers, we can set up a system of equations based on the given information:

Let's represent the first number as 'x' and the second number as 'y'.

From the first condition, 2x + 4y = 22.

From the second condition, x = 2y - 1.

We can substitute the value of x from the second condition into the first equation:

2(2y - 1) + 4y = 22.

Simplifying the equation, we get 4y - 2 + 4y = 22.

Combining like terms, we have 8y - 2 = 22.

Adding 2 to both sides, we get 8y = 24.

Dividing both sides by 8, we find that y = 3.

Substituting the value of y back into the second condition, we find that x = 2(3) - 1 = 5.

Therefore, the two numbers are x = 5 and y = 3.

User Psytek
by
7.8k points