Question

If ⅕ part of a pole is yellow, ¼ part of the pole is white and the rest is 13 meter, what is the length of the pole?​

Answer 1

Step-by-step explanation:

let total pole=x

yellow part=⅕x

white part=¼x

rest=13

so total pole=

$\frac{1}{4} x + \frac{1}{5} x + 13 = x \\ \frac{5x + 4x}{20} + 13 = x \\ \frac{9x}{20} + 13 = x \\ 13 = x - \frac{9x}{20} \\ 13 = \frac{11x}{20} \\ x = \frac{13 \times 20}{11} = 23 \frac{7}{11} m$