Question

two friends have a conversation mario tells roberto "the money i have is twice that you have" roberto answer "if you give me 6 dollars will we both have the same amount" how much money have each of them?​

Answer 1

Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.

Explanation:

Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.

M = 2R

M - 6 = R + 6

To isolate M, you need to add 6 on both sides.

M - 6 + 6 = R + 6 + 6

M = R + 12

M = 2R

Substitute M for the value above that we found.

R + 12 = 2R

Now we subtract R on both sides, so that only one side has the variable R.

R - R + 12 = 2R - R

12 = R

M = 2R

Substitute for the value of R.

M = 2 x 12

M = 24