Question

Solve: 3n – 13 = 13n + 31.

(a) \(\frac{22}{5}\)

(b) \(\frac{-22}{5}\)

(c) \(\frac{-44}{10}\)

(d) \(\frac{44}{10}\)

I have been asked this question during a job interview.

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

Answer 1

Right choice is (b) \(\frac{-22}{5}\)

The best explanation: 3n – 13 = 13n +31

∴3n – 13n = 31 + 13

∴-10n = 44

∴n = \(\frac{-44}{10} = \frac{-22}{5}\).