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If $73_x$ (in base-x number system) is equal to $54_y$ (in base y-number system), the possible values of x and y are

1. 8, 16
2. 10, 12
3. 9, 13
4. 8, 11

ans d)

x * 7 + 3 = 5 * y + 4 => 7x = 5y + 1.

Only option satisfying this is D.
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