Mathematics: If A+ B = 76 A-b = 38 A ÷ B =?

If A+ B = 76 A-b = 38 A ÷ B =? - id76387466807, randy719

rachel2005smith

01.02.2022

For this case we have the following system of equations:

$A + B = 76\\A-B = 38$

Solving the system of equations we have:

1) We subtract equation 1 with equation 2:

$2B = 76 - 38\\2B = 38$

2) We clear the value of B:

$B = \frac{38}{2}\\B = 19$

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

$A-B = 38\\A-19 = 38\\A = 38 + 19\\A = 57$

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

$\frac{A}{B}= \frac{57}{19} = 3$

$\frac{A}{B} = 3$

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