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How many children? (Posted on 2013-09-02) Difficulty: 2 of 5
  1. Benís oldest son was a twin.
  2. All of Benís children were twins except for 41 of them.
  3. All of Benís children were triplets except for 41 of them.
  4. All of Benís children were quadruplets except for 41 of them.
How many children did Ben have?

*** Counting triplets as twins or, quadruplets as triplets is not permissible.

See The Solution Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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Solution Comment 5 of 5 |

Let w=No of sinletons or others, x=no of twins, y=no of triplets, z= no of quadruplets, Then

w+2x+3y+4z= total no of children

w+2x+3y=w+3y+4z=w+2x+4z=41

hence 2x=3y=4z for integer solution lowest value of x = 6

12=12=12 hence w=17, 6 twins, 4 triplets and 3 quadruplets, next solution is x=12 but the total no of singletons becomes negative.

hence total number of children is 41+12 = 53

 

 


  Posted by Salil on 2013-09-03 05:34:34
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