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Set up equation and solve them to find the unknown number in the following case: If I take three-fourths of a number and add 3 to it, I get 21. - Mathematics

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Question

Set up equation and solve them to find the unknown number in the following case:

If I take three-fourths of a number and add 3 to it, I get 21.

Sum
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Solution

Let the number be x

Three-fourth of this number = `(3x)/4`

`3/4x + 3 = 21`

`3/4x` = 18      ...(Transposing 3 to R.H.S)

Multiplying both sides by 4

`(3x xx 4)/4`

= 18 × 4

3x = 72

Dividing both sides by 3,

`(3x)/3 = 72/3`

x = 24

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Chapter 4: Simple Equations - Exercise 4.4 [Page 91]

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NCERT Mathematics [English] Class 7
Chapter 4 Simple Equations
Exercise 4.4 | Q 1.3 | Page 91

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