Question

A line segment 49 m long divided into 2 parts in the ratio 3:4. Find the length of each part

• A. 20 m , 29 m
• B. 18 m , 30 m
• C. 21 m , 28 m
• D. None of these

Answer 1

The correct option is C

21 m , 28 m

Let Part 1 be 3x and Part 2 be 4x

Part 1 + Part 2 = 49 m

3x + 4x = 49

7x = 49

$\Rightarrow$ x = $\frac{49}{7}$ = 7

Length of 1st Part = 7 $\times$ 3 = 21 m

Length of 2nd Part = 7 $\times$4 = 28 m