one number is 7 more than twice the other number. if the sum of the two numbers is 19, find the two numbers

4 and 15

Step-by-step explanation:

Let the two numbers be a and b.

The sum of the two is 19. Therefore:

One number (let's use a) is 7 more than twice the other. Thus:

Solve for the system of equations. Substitute the second equation into the first:

Subtract 7 from both sides:

Combine like terms:

Divide by 3:

So, b is 4.

And since they add up to 19, this means that a is:

So our numbers are 4 and 15

And we are done :)

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