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A line segment 56 cm long is to be divided into two parts in the ratio of 2:5. Find the length of each part. - Mathematics

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Question

A line segment 56 cm long is to be divided into two parts in the ratio of 2:5. Find the length of each part.

Sum

Solution

The length of the line segment = 56 cm

Let the lengths of the two parts be 2x cm and 5x cm.

∴ 2x + 5x = 56

⇒ 7x = 56 = `56/7` = 8

∴ The length of one part is (2 × 8) cm = 16 cm and length of other part is (5 × 8) cm = 40 cm

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Chapter 8: Ratio and Proportion - Exercise [Page 124]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 8 Ratio and Proportion
Exercise | Q 51 | Page 124

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