Question

An 85m long rod is divided into two parts. If one part is 2/3of the other part, then the longer part (in metres) is:​.​

Answer 1

Answer:

51 m and 34 m

Step-by-step explanation:

let one part be x

the other part will be 2/3 of x

total length of rod = 85 m

$x + \frac{2}{3} x = 85 \\ \frac{3x + 2x}{3} = 85 \\ 3x + 2x = 85 \times 3 \\ 5x = 255 \\ x = \frac{255}{5} \\ x = 51 \\ \\ other \: part \: = \frac{2}{3} x \\ = \frac{2}{3} \times 51 \\ = 2 \times 17 \\ = 34$

therefore the 2 parts are 51 m and 34 m

hope you get your answer