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People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees.

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Question

People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

Sum
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Solution

Let the number of fruit trees be x.

3 × Number of fruit trees + 2 = Number of non-fruit trees

3x + 2 = 77

3x = 77 - 2      ...(Transposing 2 to R.H.S.)

3x = 75

Dividing both sides of the equation by 3

`(3x)/3 = 75/3`

x = 25

Therefore, the number of fruit trees was 25.

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Chapter 4: Simple Equations - EXERCISE 4.3 [Page 72]

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NCERT Mathematics [English] Class 7
Chapter 4 Simple Equations
EXERCISE 4.3 | Q 3. (iii) | Page 72

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