Math, asked by vidhimoon, 1 year ago

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.


wwwmrohanth: after taking 5 pens and addind 5 pencils does the sum of pens and pencils should be 40?
wwwmrohanth: hey that is wrong answer cuz no of pencils r not 4 times the no of pens
wwwmrohanth: hey vidhimoon u did not answer my question
titughosh03titu: If a= 16(238)15, b= 12(178)15 then x = 14(?)16...
vidhimoon: that is not wrong
vidhimoon: wwwmrohnath
vidhimoon: I have the answer but not the solution
vidhimoon: the answer is 27 pencils and 13 pens
Anonymous: ago

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

Answers

Answered by Anonymous
582
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!!!

vidhimoon: thanks a lot Gashu it really helped
Anonymous: you are welcome , just rate my answer :(
Answered by nirmalyadav2003
87

Let, the no. Of pens be x and no. Of pencils be y.            x+y=40--------1 Acc. To ques         4(x-5)=y+5          4x-20=y+5            4x-y=25---------2 From 1 and 2          x+y=40         4x-y=25         ―――――――          5x=65             x=13 Substitute the value of x in eq.1              x+y=40             13+y=40                  y=27 So, pens be 13 and pencils be 27..        

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