A number equals two more than another. A number plus twice another is 11. Find the numbers.

Question

This is the last problem im stuck on and math and could use the help

Answer 1

Olivia, this question is asking you to translate words into two equations, then solve that "system" of equations.

I'll give you a similar example:

"A number is four more than another number" becomes x = 4 + y

"A number plus three times another number is eight" becomes x + 3y = 8

then you solve the "system" by elimination or substitution--I hope that you have had lots of practice with this.

Hope this helps, but please let me know--Andrew

Answer 2

Let x be the first number and y be the second number. Then we can write:

x - y = 2 (1)

And x + 2y = 11 (2)

This is the system of equations. Let's subtract the equation (2) from (1), then we get

x - y - x - 2y = 2 - 11

or - 3y = - 9

Hence, y = 3. From equation (1) we find that

x - 3 = 2.

It means that

x = 3 + 2 = 5

Answer: 5 and 3