Question

If x + y= 15, x^2 - y^2= 90 then the value of x - y will be,

Answer 1

$Given \: x + y = 15 \: --(1)$

$and \: x^{2} - y^{2} = 90$

$\implies (x+y)(x-y) = 90$

$\implies (x-y) \times 15 = 90\: [ From \:(1) ]$

$\implies x - y = \frac{90}{15}$

$\implies x - y = 6$

Therefore.,

$\red{ Value \:of \: (x-y) } \green { = 6}$

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