(Q.36). Neha went to a ‘sale’ to purchase some pants and skirts. When her friend asked her how many of each she had bought, she answered “The number of skirts are two less than twice the number of pants purchased. Also the number of skirts is four less than four times the number of pants purchased.” Help her friend to find how many pants and skirts Neha bought.

Let the number of pants = x and the number of skirts = y

By problem y = x – ⇒ x – y =

y = x – ⇒ x – y =

y = 4x - 4
x y (x,y)
0 - (0,-)
1 (1,)
y = 2x - 2
x y (x,y)
2 (2,)
0 - (0,-)

The two lines are intersecting at the point (,)

∴ x = ; y = is the required solution of the pair of linear equations.

i.e., pants =

She did not buy any .