Question

the no of pens in three different pencil boxes in the ratio1:2:3.find the ratio in which the number of pens in the first and the second boxes must be increased so that the new ratio become 3:2:1​

Answer 1

Answer:

the no. increase in the ratio 8:4:0

Answer 2

2:1 is the ratio in which the number of pens in the first and the second boxes.

Step-by-step explanation:

Let the no. of pens in three different pencil boxes be

1st box = x

2nd box = 2x

3rd box = 3x

_as the given ratio is 1:2:3

let The requires no. of pens increased to

1st box = 3y

2nd box = 2y

3rd box = y

∵ Quantity remains the same in 3rd pencil box

∴ 3x = y

⇒ x = y/3

and if x = y/3

then 2x = 2y/3

        3x = y

i.e y/3, 2y/3, y

Increment in the 1st box = 3y - x

= 3y - (y/3)

= 8y/3

Increment in the 2nd box = 2y - 2x

= 2y - 2(y/3)

= 2(y - y/3)

= 4y/3

The ratio of 1st: 2nd = 8y/3 : 4y/3

=2:1