Question

eople of Sundargram planted a total of 102 trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted?


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Answer 1

Let no. of fruit trees be x

The no. of non fruit trees were 2 more than 3 times the no of fruit trees.

\Rightarrow \text{Non fruit trees } = 3x+2⇒Non fruit trees =3x+2

So, total trees = No. of fruit trees+ no. of non fruit trees .

We are given that  a total of 102 trees in a village.

102= 3x+2+x102=3x+2+x

102= 4x+2102=4x+2

102-2= 4x102−2=4x

100= 4x100=4x

\frac{100}{4}= x4100=x

25= x25=x

Hence the no. of fruit trees planted are 25.

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Answer 2

Given that, there are total 102 trees in the village garden.

According to the question,

⇒ Number of non fruit trees were two more than three times the number of fruit trees.

Let the number of fruit trees be x.

∴ Non-fruit trees = 102 - x ...(1)

According to the given case in the Question, It can be expressed algebraically as:

⇒ Non-fruit trees - 2 = 3 ( Fruit trees )

Since, Number of non-fruit trees were 2 more than the number of fruit trees, Therefore we must subtract 2 from non-fruit trees to make it equal to fruit trees.

⇒ (102 - x) - 2 = 3(x)

⇒ 100 - x = 3x

⇒ 4x = 100

⇒ x = 25

Here, We took fruit trees as x and Non fruit trees as 102 - x

⇒ Fruit trees = 25

⇒ Non-fruit trees = 102 - 25 ⇒ 77

Hence, There were 25 fruit trees, while 77 Non-fruit trees.