Question

A+B=76
A-B=38
A÷B=??

Answer 1

AnswEr :

The value of A÷B is 3.

ExplanaTion :

$a \: + \: b \: = \: 76 - - - (1)$

$a \: - \: b \: = \: 38 - - - (2)$

Now, by adding both eq(1) and eq(2) we get,

$a \: + \: b \: + \: a \: - \: b \: = \: 76 \: + \: 38$

$\implies \: 2a + ( + b \: - b) = 76 + 38$

$\implies \: 2a \: = 114$

$\implies \: a = \frac{114}{2}$

$\implies \: a = \cancel \frac{114}{2}$

$\implies \: a = 57$

therefore, the Value of a is 57.

Now, substitute the value of a in eq(1).

$\implies \: 57 + b = 76$

$\implies \: b = 76 \: - \: 57$

$\implies \: b = 19$

therefore, the value of b is 19.

Now, according to problem , the value of

A/B =

$\frac{a}{b} = \frac{57}{19}$

$\frac{a}{b} = 3$