CA Foundation · Quantitative Aptitude · Equations
Solve for x: (x + 3)/4 − (x − 1)/6 = 2.
The solution is x = 13. Multiplying by 12 gives 3(x + 3) − 2(x − 1) = 24, so x + 11 = 24. Substituting back, 4 − 2 = 2, which confirms it.
- Ax = 13Correct
- Bx = 15
- Cx = 11
- Dx = 9
Explanation
Multiply through by LCM 12: 3(x + 3) − 2(x − 1) = 24. This gives 3x + 9 − 2x + 2 = 24, so x + 11 = 24 and x = 13. Check: 16/4 − 12/6 = 4 − 2 = 2. If the minus sign on the second bracket is not distributed, you get x = 15.
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