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Twice a number added to half of itself equals 24. Find the number. - Mathematics

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Question

Twice a number added to half of itself equals 24. Find the number.

Sum
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Solution

Let the number be x.

Then, twice of this number = 2x and half of this number = `1/2x`.

According to the question,

`2x + 1/2x = 24`

Multiplying both sides by 2, we get

4x + x = 48

⇒ 5x = 48

`(5x)/5 = 48/5`  ...[Dividing both sides by 5]

⇒ x = 9.6

Hence, the required number is 9.6

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Chapter 4: Simple Equations - Exercise [Page 114]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 4 Simple Equations
Exercise | Q 96. | Page 114

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