- Benís oldest son was a twin.
- All of Benís children were twins except for 41 of them.
- All of Benís children were triplets except for 41 of them.
- 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.
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
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