Question

A road divider of certain length is painted one-sixth yellow, three-fifth black, and the remaining 28 m is painted white. Find the length of the divider.

Wrong answer will be reported.​

Answer 1

Let the length of road be x m

ATQ

$\to \: \: \sf{ \frac{x}{6} + \frac{3x}{5} + 28} = x$

$\to \sf \: \: { \frac{5x + 18x + 840}{30} = x}$

$\sf \to \: \: {23x + 840 = 30x}$

$\sf \to \: \:{840 = 7x}$

$\sf \to \: \: {x=\frac{840}{7}}$

$\huge\sf \orange{\to \: \: {x\frak{ \: =120}}}$

Therefore,length of divider = 120m