Question

Solve: \(\frac{m-1}{2} + \frac{2m+3}{3}\) = 2.

(a) \(\frac{2}{3}\)

(b) \(\frac{3}{2}\)

(c) 3

(d) 2

The question was asked in an interview for job.

My doubt is from Reduce the Linear Equation and Find the Value of the Variable topic in division Linear Equations in One Variable of Mathematics – Class 8

Answer 1

The correct answer is (a) \(\frac{2}{3}\)

The best explanation: \(\frac{m-1}{2} + \frac{2m+3}{3}\) = 2

∴\(\frac{3*(m-1)}{3*2} + \frac{3*(2m+3)}{2*3}\) = 2

∴\(\frac{3m-3+6m+9}{6}\) = 2

∴\(\frac{9m+6}{6}\) = 2

∴9m + 6 = 12

∴9m = 6

∴m = \(\frac{2}{3}\).