Question

Q.1 students of a class have a total of 102 pens
sum of the pens are gel pens. The no of
non - gell pens are two more than
3 times of gell pens. find the
no of gell pens​

Answer 1

Question :

students of a class have a total of 102 pens some of the pens are gel pens. The number of non - gel pens are two more than 3 times of gell pens. find the no of gel pens ?

Answer :

$\sf\pink{Given}$

• Total number of pens is 102 .

• Number of non gel pens is 2 more than 3 times of gel pens .

$\sf\pink{To\: find}$

• Number of gel pens?

Explanation

• let the number of gel pens be 'x'

• let the number of non gel pens be 'y'

By the first condition ,

x + y = 102 --------------(1)

By the second condition ,

y = 3x + 2 ---------------(2)

put equation 2 in equation 1

x + 3x + 2 = 102

4x + 2 = 102

4x = 102 - 2

4x = 100

x = $\dfrac{100}{4}$

x = 25

• therefore the number of gel pens is 25 .

Answer 2

The number of gel pens is 25 in the class.

Step-by-step explanation:

As given in question that students have 102 pens.

Which has some gel pens and the number of non-gel pens is two more than three times the number of gel pens.

Suppose the number of gel pens and non-gel pens is x and y respectively.

According to the question,

x + y = 102

and y = 3x + 2

Put the value of non-gel pens in eq.(I)

x + 3x + 2 = 102

4x = 102 - 2

4x = 100

x = \frac{100}{4}

4

100

x = 25

Therefore, the number of gel pens is 25 in the class.

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