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One of the two numbers is twice the other. The sum of the numbers is 12. Find the numbers.

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Question

One of the two numbers is twice the other. The sum of the numbers is 12. Find the numbers.

Sum
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Solution

Let x be one of the numbers.

Then, other number is twice the first one = 2x

According to the question,

x + 2x = 12

⇒ 3x = 12

⇒ `(3x)/3 = 12/3`  ...[Dividing both sides by 3]

⇒ x = 4

Hence, the numbers are x = 4 and 2x = 2 × 4 = 8.

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Chapter 4: Simple Equations - Exercise [Page 113]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 4 Simple Equations
Exercise | Q 84. | Page 113

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