Question

A ruler 30 cm long is broken into two parts in the ratic
8:7. How long are the two parts?

Answer 1

To determine the lengths of the two parts when a ruler is broken into two parts in a ratio of 8:7, we can follow these steps:

1. Add the ratio numbers: 8 + 7 = 15. This sum represents the total number of parts into which the ruler is divided.

2. Determine the length of one part by dividing the total length of the ruler by the sum of the ratio numbers:

Length of one part = (Total length of ruler) / (Sum of ratio numbers)

Length of one part = 30 cm / 15 = 2 cm

3. Multiply the length of one part by the respective ratio numbers to find the lengths of the two parts:

Length of the first part = Length of one part × First ratio number

Length of the first part = 2 cm × 8 = 16 cm

Length of the second part = Length of one part × Second ratio number

Length of the second part = 2 cm × 7 = 14 cm

Therefore, the two parts of the ruler, when broken in a ratio of 8:7, are 16 cm and 14 cm in length, respectively.

Answer 2

Let the common ratio be x

So the first part is 8x

and second part is 7x

And in the question :

8x+7x = 30

15x = 30

x = 2

so,

first part is 8x = 8×2 = 16

second part is 7x = 7×2 = 14