Question

A line segment 198 cm long is divided into two parts whose lengths have the ratio 5:6. Find the length of the longer piece.

Answer 1

Answer:

6x + 5x = 198cm

11x = 198cm

x = 198/11 = 18cm

Hence parts are 18 x 6 = 108 cm and 5 x 18 = 90 cm.

Length of longer piece = 108 cm

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Step-by-step explanation:

Answer 2

$\large \bold{ \underline{ \underline{ \: Answer : \: \: \: }}}$

$\to$ The length of longer piece is 108 cm

$\large \bold{ \underline{ \underline{ \: Explaination : \: \: \: }}}$

Let ,

First part = 5x

Second part = 6x

According to the question ,

$\to 6x + 5x = 198 \\ \\ \to 11x = 198 \\ \\ </p><p></p><p> \to x = \frac{198}{11} \\ \\ </p><p></p><p> \to x = 18 \: \: \bold{cm}$

So , the parts are 5 × 18 = 90 cm and 18 × 6 = 108 cm

Hence , the length of longer piece is 108 cm