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How many children, ladies and gents are there?

(10 votes, average: 3.30 out of 5)

August 30, 2013 by puzzler 2 Comments

One family of 20 members have 20 chapatis to eat, finally

  1. Every child gets 1/2 chapati
  2. Every Lady in the house gets 2 chapatis
  3. And every gentleman gets 3 chapatis to eat.

How many Child, Ladies and Gents are there in the family?


See AnswersHide Answers
There are two possible answers:
Answer1: Number of children = 14, Ladies= 5 and Gents = 1
Answer2: Number od children = 16, Ladies = 0 and Gents = 4.
How?
We can form the mathematical equations and solve them, lets assume number of children = x, ladies = y and gents = z.

Then we can form these two equations

  1. x + y + z = 20(Total number of people in family)
  2. x/2 + 2y + 3z = 20 (Total number of chapati’s)

Now we can solve above two equations as below

x/2 + 2(y+z) + z = 20
x/2 + 2(20 -x) + z = 20 (replaced y+z from first equation)
40 + z -3x/2 = 20
3x/2 = 20 +z
as z > 0 => 3x/2 > 20, x = 14, 16, 18...

We can see that y becomes negative for any value of x greater than or equal to 18,thus x = 14 and 16 are two possible values. we can get the corresponding values of y and z as well.

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Comments

  1. RAJENDRA SINGH says

    May 2, 2015 at 4:23 pm

    GENTS2 4CHAPTI LADI 7 1.5 =11 CHAP CHILD 11*1/2 5.50 20 CHPTI

    Reply
  2. RAJENDRA SINGH says

    May 2, 2015 at 4:21 pm

    GANTS2X2 4 LADIS 7*1.5 10.5 CHILD 11*5.50 =20

    Reply

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