Two numbers 24(_{x}) and 31(_y) are equal in value when converted to base ten. Find the equation connecting x and y
-
A.
2x = 3(y – 1) -
B.
4x – y = 1 -
C.
3y + 2x = 3 -
D.
3y = 2 (x + 3)
Correct Answer: Option A
Explanation
24(_x) = 31(_y)
(2 times x^1 + 4 times x^0 = 3 times y^1 + 1 times y^0)
(2x + 4 = 3y + 1 implies 2x = 3y + 1 – 4)
(2x = 3y – 3 = 3(y – 1))