Question

A line is divided into two parts such that ${\frac{2}{3}}^{rd}$ of the first part is equal to ${\frac{5}{3}}^{rd}$ of the second part. Find the length of the first part if the total length of the line is 7 m.

• A. 1 m
• B. 3 m
• C. 4 m
• D. 5 m

Answer 1

The correct option is D

5 m

Let the length of the first part be x and second part be y.

2x = 5y - (i)

x + y = 7 - (ii)

$⟹$x = 5 m