2020 · Q37
If x/(b + c) = y/(c + a) = z/(b − a), which of the following is correct?
Elementary MathematicsRatio and Proportion
- Ax + y + z = 0
- Bx − y − z = 0
- Cx + y − z = 0
- Dx + 2y + 3z = 0
Explanation
Writing each fraction as k times its denominator: x-y-z = k(b+c-c-a-b+a) = 0. Hence option (B). For instance with k = 1, x-y-z = (b+c)-(c+a)-(b-a) = 0 term by term.