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If 45 is added to half a number, the result is triple the number. Find the number. - Mathematics

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Question

If 45 is added to half a number, the result is triple the number. Find the number.

Sum

Solution

Let x be the number

Then, half of the number is `x/2`

According to the question,

`x/2 + 45` = 3x

⇒ `(x + 90)/2` = 3x

⇒ x + 90 = 6x

⇒ x = `90/5` = 18

Hence, the number is 18.

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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 80. | Page 113

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