Question

the cost of two pencil and eraser is rupees 20 and the cost of 4 pencil and 6 eraser is rupees 44 find the cost of pencil and eraser​

Answer 1

Step-by-step explanation:

$let \: the \: cost \: of \: each \: pencil \: be \: - x \\ \\ and \: costof \: each \: eraser \: be \: - y \\ \\ then \: according \: to \: given \: condition \: -$

$2x + y = 20 \\ \\ then \: x = \frac{20 - y}{2}$

2nd case-

$4x + 6y = 44 \\ \\ put \: value \: of \: \: x \: - \\ \\ 4 \times \frac{20 - y}{2} + 6y = 44$

$40 - 4y + 6y = 44 \\ \\ 2y = 44 - 40 \\ \\ y = \frac{4}{2} \\ therefore \: y \: = 2 \\ \\ thus \: cost \: of \: each \: eraser \: = \:$

2 Rs

and

$cost \: of \: each \: eraser \: (x) =$

$\frac{20 - 2}{2} \\ \\ = \frac{18}{2} = 9$

=9 Rs