Question

If A+ B = 76
A-b = 38
A ÷ B =?

Answer 1

`A+B=76\to A=76-B\\\\A-B=38\to A=38+B\\\\\Downarrow\\\\38+B=76-B\\B+B=76-38\\2B=38\ \ \ /:2\\B=19\\\\\Downarrow\\\\A=76-19=57`


`\Downarrow\\\\A:B=57:19=3`

Answer 2

For this case we have the following system of equations:

`image`

Solving the system of equations we have:

1) We subtract equation 1 with equation 2:

`image`

2) We clear the value of B:

`image`

3) We substitute The value of B in equation 2 and obtain the value of A:

`image`

Then, the value of the division of both numbers is:

`image`

Answer:

`(A)/(B) = 3`