Question

(a^b)*c=1000; a+b=c; a-b=c/4.
find value of a,b,c.

Answer 1

$\huge \underline \bold \green{QUESTION}:$

(a^b)*c=1000; a+b=c; a-b=c/4.

find value of a,b,c.

__________________________

$\huge \underline \bold \red{SOLUTION}:$

$lets \: solve \: the \: two \: equation \: </p><p> \\ a + b = c \\ a - b = \frac{c}{4} \\ if \: we \: add \: two \: equations \: we \: get \\ 2a = c + \frac{c}{4} \\ a = \frac{5c}{8} \: \: \: \: \: \: \: \: (1) \\ now \: subtract \: the two \: equations \: \\ we \: get \\ 2b = \frac{3c}{4} \\ b = \frac{3c}{8} \: \: \: \: \: \: (2)\\ \\ from \: one \: and \: two \: we \: can get \: \\ a \: complete \: equation \: with \: c \\ \: if \: we \: substitute \: in \\ {a}^{b} \times c = 1000 \\ = > { \frac{5c}{8} }^{ \frac{3c}{8} } \times c = 1000$