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

1
wwwmrohnath
I have the answer but not the solution
the answer is 27 pencils and 13 pens
ago

If a= 16(238)15, b= 12(178)15 then x = 14(?)16...
answer is 222

Answers

  • Brainly User
2014-05-28T12:18:36+05:30
Reena has pens and pencils which together are 40 in number. If she has five more pencils and five less pens, then the number of pencils would become four times the number of pens. Find the original number of pens and pencils. Answer in detail.

Solution :
               Number of Pens and Pencils  = 40
               Let the number of  Pens = x
               and let Number of Pencils = y
             therefore ,
                             x + y = 40
                           => y = 40 - x ............................. (1)
According to Question ,
               y + 5 = 4 ( x - 5 )
               y +5 = 4*x - 4*5
              y + 5  = 4x - 20
               y = 4x -20 -5
               y = 4x - 25 ...................................(2)
         from 1 and 2 , we get
               4x - 25 = 40 - x 
               4x = 40 - x + 25
               4x + x = 40 + 25
               5x = 65
                 x = 65/5
                 x = 13

Therefore Number of Pens = 13
Substitute the value of x in 1 , we get
               y = 40 - x
               y = 40 - 13
               y = 27

Therefore Number of Pencils = 27

Hope this helps You!!!
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thanks a lot Gashu it really helped
you are welcome , just rate my answer :(