Question

Reena has pend and pencils which together are 40 in number. If she has 5 more pencils and 5 less pens, the number of pencils would become 4 times the number of pens. Find the original number of pens and pencils.

Answer 1

Given:

(i) Total numbers of pens and pencils = 40.

(ii) If she has 5 more pencil and 5 less pens, the number of pencils would be 4 times the number of pen.

To find: Original number of pens and pencils.

Suppose original number of pencil = x

And original number of pen = y

According the given conditions, we have,

Thus we got the following system of linear equations

Substituting the value of y from equation 1 in equation 2 we get

Substituting the value of y in equation 1 we get

Hence we got the result number of pencils is and number of pens are