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1 subtracted from one-third of a number gives 1. Find the number. - Mathematics

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Question

1 subtracted from one-third of a number gives 1. Find the number.

Sum
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Solution

Let the number be x.

Then, one-third of the number = `1/3 x`.

According to the question,

`1/3 x - 1 = 1`

⇒ `1/3 x = 1 + 1`  ...[Transposing (–1) to RHS]

⇒ `1/3x = 2`

⇒ x = 3 × 2   ...[Multiplying both sides by 3]

⇒ x = 6

Hence, the required number is 6.

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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 76. | Page 113

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