Question

People of Rajpur planted 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 if the number of non-fruit trees planted was 77?​

Answer 1

Answer:

The number of the fruit tree is 15.

Step-by-step explanation:

Step-1

Given:

(I) The total number of fruit tree is 102.

(II)The number of non-fruit trees were

two more than three times the number

of fruit trees.

(III) The number of non-fruit trees planted was 77.

To Find:

What was the number of fruit trees planted?

Assume 't' as the number of fruit trees.

So, the number of non-fruit = 3t + 2

Step-2

According to the question:

$\bf \implies \: \: 3t + 2 = 77 \\ \bf\implies \: \: 3t = 77 - 2 \\ \bf\implies \: \: 3t = 75 \: \: \: \: \: \: \: \: \:\\\bf\implies \: \: t = \frac{75}{3} \: \: \: \: \: \: \: \: \: \: \\ \bf\implies \: \: t = 15 \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the number of fruit trees is 15.

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More to know:

• Transposing a number (I.e., changing the side of the number) is the same as adding or subtracting the number from both sides.

• Changing side is called transposing. While transposing a number, change its sign.