two students ngum ebon gave their ages as 124_4 and 33_x respectively.if both of them are of thesame ages .find in what base ebon gave her age


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Question Number 68285 by mezihloic last updated on 08/Sep/19

$t w o s t u d e n t s n g u m e b o n g a v e t h e i r a g e s a s 124_{4} a n d 33_{x} r e s p e c t i v e l y . i f b o t h o f t h e m a r e o f t h e s a m e a g e s . f i n d i n w h a t b a s e e b o n g a v e h e r a g e$
Commented by Rasheed.Sindhi last updated on 08/Sep/19

$124_{4} ?$ $A number written in the base of 4$ $must be composed of only 0, 1, 2, 3$
Commented by Rasheed.Sindhi last updated on 08/Sep/19

$If it were as :$ $age of ngum = 123_{4} & age of ebon = 33_{x}$ $3 x + 3 = 1 {(4)}^{2} + 2 (4) + 3$ $3 x = 24$ $x = \frac{24}{3} = 8$
	Answered by $@ty@m123 last updated on 08/Sep/19

	$1 \times 4^{2} + 2 \times 4 + 4 = 3 x + 3$ $28 = 3 x + 3$ $3 x = 25$ $x = \frac{25}{3}$
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