150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts. - Mathematics

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Sum

150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

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Solution

Let one part be x, then the other parts will be 2x as the second part is twice the first part.

Since 150 has been divided into the above two parts.

According to the question,

x + 2x = 150

⇒ 3x = 150

⇒ `(3x)/3 = 150/3`  ......[Dividing both sides by 3]

⇒ x = 50

Hence, the first part is 50 and the second part is 2 × 50 = 100.

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Chapter 4: Simple Equations - Exercise [Page 114]

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NCERT Exemplar Mathematics Class 7
Chapter 4 Simple Equations
Exercise | Q 91. | Page 114

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