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)
waec 1999mathematics

The correct answer is A. 2x = 3(y - 1)

24\(_x\) = 31\(_y\)

\(2 \times x^1 + 4 \times x^0 = 3 \times y^1 + 1 \times y^0\)

\(2x + 4 = 3y + 1 \implies 2x = 3y + 1 - 4\)

\(2x = 3y - 3 = 3(y - 1)\)

Previous question Next question