Question

A pole is cut into two pieces in the ratio 6:7.If the total length is 117cm,find the length of each part.

Answer 1

let the length of the two pieces be 6x and 7x
6x + 7x = 117
13x = 117
x = 117/13
x = 9
6x = 9 ×6 => 54
7x = 9×7 => 63
the two lengths are 54 and 63

Answer 2

Given,

A pole is cut into two pieces in the ratio of 6:7.

Total length = 117 cm

To find,

The length of each part.

Solution,

The length of each part will be 54 cm and 63 cm respectively.

We can easily solve this problem by following the given steps.

According to the question,

A pole is cut into two pieces in the ratio of 6:7.

Let's take the length of the two parts to be 6x and 7x respectively.

6x+7x = 117

13x = 117

x = 117/13 (13 was in the multiplication on the left-hand side. So, it is in the division on the right-hand side.)

x = 9

Putting the value of x in 6x and 7x,

6x = 6×9 = 54 cm

7x = 7×9 = 63 cm

Hence, the length of each part is 54 cm and 63 cm respectively.