Question

Solve: \(\frac{x}{5} + \frac{x}{7} = \frac{1}{35}\).

(a) \(\frac{1}{6}\)

(b) \(\frac{1}{8}\)

(c) \(\frac{1}{12}\)

(d) \(\frac{1}{10}\)

I had been asked this question in an internship interview.

This interesting 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

Correct option is (c) \(\frac{1}{12}\)

For explanation: \(\frac{x}{5} + \frac{x}{7} = \frac{1}{35}\)

∴\(\frac{7*x+5*x}{5*7} = \frac{1}{35}\)

∴\(\frac{7x + 5x}{35} = \frac{1}{35}\)

∴\(\frac{12x}{35} = \frac{1}{35}\)

∴12x = 1

∴x = \(\frac{1}{12}\).