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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 computer solution | Comment 4 of 5 |

FOR sing = 0 TO 41
FOR twinsets = 0 TO 25
FOR tripsets = 0 TO 25
FOR quadsets = 0 TO 25
  kids = 2 * twinsets + 3 * tripsets + 4 * quadsets + sing
  nontwin = kids - twinsets * 2
  nontrip = kids - tripsets * 3
  nonquad = kids - quadsets * 4
  IF nontwin = 41 AND nontrip = 41 AND nonquad = 41 THEN
    PRINT sing; twinsets; tripsets; quadsets, kids
  END IF
NEXT
NEXT
NEXT
NEXT

finds

 17  6  4  3   53
 41  0  0  0   41
 
for the number of single births, sets of twins, sets of triplets, sets of quadrupleds, and the consequent total number of children.

Statement 1 requires that there be at least one set of twins, to the top line is the solution: there are 53 children all together: 17 singletons, 6 pairs of twins, 4 sets of triplets and 3 sets of quadruplets.


  Posted by Charlie on 2013-09-02 14:20:54
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