Question

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

Answer 1

Let the number of pens be x and that of pencil be y. then,

x + y = 40 ....(i)

(y + 5) = 4(x – 5)

`=>` y + 5 = 4x – 20

`=>` 5 + 20 = 4x – y

`=>` 4x – y = 25 ....(ii)

Adding equation (i) and equation (ii), we get

x + 4x = 40 + 25

`=>` 5x = 65

`=> x = 65/5 `

`=>` x = 13

Puttign x = 13 in equation (i) we get

13 + y = 40

`=>` y = 40 – 13

`=>` y = 27

Hence, Reena has 13 pens 27 pencils.