Question

The difference of two numbers is 4.
5 times the smaller number is four more than three times the larger. Find the two numbers.

-10 and -14

10 and 14

8 and 12

-8 and -12

Answer 1

Let \(m\) represent the larger number and \(n\) represent the smaller number.
\(m - n = 4\)
\(5n = 3m + 4\)

Sorry I have to remember different LaTeX formats for different sites. There's at least three different codes for rendering.

Answer 2

Thanks!
Now the answer I got is n = 8 and m = 12

Answer 3

Mind showing how you arrived at that result?

Answer 4

There's two ways to solve it. I just want to see which method you used.

Answer 5

Sorry I took so long

m - n = 4
m - n + n = 4 + n
m = 4 + n
5n = 3(4 + n) + 4
5n = 12 + 3n + 4
5n = 16 + 3n
5n - 3n = 16 + 3n - 3n
2n = 16
2n/2 = 16/2
n = 8

m = 4 + 8
m = 12

Answer 6

Very good. You used the correct method to find m and n which is called "Solving the system".

Answer 7

Thanks!