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ollegr [7]
4 years ago
10

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

Mathematics
1 answer:
topjm [15]4 years ago
8 0

Answer:

4 and 15

Step-by-step explanation:

Let the two numbers be a and b.

The sum of the two is 19. Therefore:

a+b=19

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

a=7+2b

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

a+b=19\\(7+2b)+b=19

Subtract 7 from both sides:

2b+b=12

Combine like terms:

3b=12

Divide by 3:

b=4

So, b is 4.

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

a+b=19\\a+4=19\\a=15

So our numbers are 4 and 15

And we are done :)

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