If (84)x is equal to (64)y where x and y represent base 'x' and base 'in' number systems respectively, what could be the possible values of x and y
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one of the possible values of x & y are 9 & 12 if (84)x is equal to (64)y
Step-by-step explanation:
(84)x is equal to (64)y
=> 8x + 4 = 6y+ 4
= > 8x = 6y
=> 4x = 3y
x > 8 as it have digit 8
x = 9
4*9 = 3y
y = 12
one of the possible values of x & y are 9 & 12
if x = 12 then y = 16
many possible solutions
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Answer:
Step-by-step explanation:
sol:
given (84)x = (64)y
8 . x^1 + 4 . x^0 = 6 . y^1 + 4 . y^0 | according to number systems in digital logic
8x + 4 = 6y + 4
8x = 6y ---- final equation
now x > 8 | 8 is the greatest decimal digit in both sides
so the answer is x = 9 and y = 12
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