# CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 19 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 16**:

If is added to the numerator of a fraction, it reduces to and if is subtracted from the denominator, it reduces to . Find the fraction.

**Answer**:

Let the fraction be

According to question,

Or

And

Or

On solving eq. (i) and (ii) , we get,

**Question 17**:

Solve the following system of equation graphically.

, , also read the points from the graph where the lines meet the axis and y-axis.

**Answer**:

The straight line (i) meet the axis at

And straight line (ii) meet the axis at

**Question 18**:

Solve and .

**Answer**:

On adding eq. (i) and (ii)

Or

On subtracting

On adding (ii) and (iv) we get

**Question 19**:

A man has only paise coins and paisea coins in his purse. If he has coins in all totaling ₹ . How many coins of each kind does he have?

**Answer**:

Let the number of coin of

paise be ‘x’ and

paise be ‘y’

According to question

And

Or

Number of paise coin

And number of 25 paise coin