Two numbers 24 x and 31 y are equal in value when converted to base
MATHEMATICS
WAEC 1999
Two numbers 24x and 31y 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: A. 2x = 3(y - 1)
Explanation
24\(_x\) = 31\(_y\)
\(2 \times x^1 + 4 \times x^0 = 3 \times y^1 + 1 \times y^0\)
\(2x + 4 = 3y + 1 \implies 2x = 3y + 1 - 4\)
\(2x = 3y - 3 = 3(y - 1)\)
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