Answers
1)The key to this math riddle is realizing that the one place must be zero.
888 +88 +8 +8 +8 =1,000
2)One of the 'fathers' is also a
grandfather. Therefore the other father is both a son and a father to the
grandson.
In other words, the one father is both a son and a father.
3)So to figure out how to answer the riddle you had to see what
distinguishes the number 1? Only that we are including 1,000 which would be the
first '1' in a new series of ten! In other words, the digit 1 only has a single
extra occurrence (301 occurrences) compared to 2 or 3 or 9 which each have
exactly 300 occurrences.
4)There are many ways of explaining/thinking about
this truly brain bending riddle! It all boils down to the fact that the
lawyers' math is incorrect. They did NOT spend $9 • 3 + $2.
They
spent exactly $27 dollars. $25 for the room and $2 for the tip. Remember they
got exactly $3, in total back.
Another way to think about the answer to this
riddle is to just pretend that the bellhop refunded $3 to the lawyers (rather
than giving them $5 and receiving $2 back). If the lawyers get $3 back and each
takes $1. They spent exactly $27 dollars.
In a certain country ½ of 5 = 3. If the same proportion holds, what is the
value of 1/3 of 10 ?
5)11 cartons total
7 large boxes (7 * 8 = 56 boxes)
4 small boxes (4 10 = 40
boxes
11 total cartons and 96 boxes
6)Every farmer's part is 1/3(45+75)
= 40 sacks.
Charlie paid $1400 for 40 sacks, then 1 sack costs
$1400/40 = $35/sack.
Adam got $35*(45-40)=35*5 = $175.
Ben
got $35*(75-40)=35*35 = $1225.
Answer: Ben $1225, Adam $175
7)Answer: { 2, 2, 9}
If you list out the trio of factors that
multiply to 36 and their sums, you get : • 1 1 36 = 38
•1 2 18 = 21
•1 3
12 = 16
•1 4 9 = 14
•6 6 1 = 13
•2 2 9 = 13
•2 3 6 = 11
•3 3 4 =
10
Since the number on the house next door is not enough information there
must be more than 1 factor trio that sums up to it, leaving two possibilities: {
6, 6, 1} , {2, 2, 9} . When she says her 'oldest' you know it can not be {6,6,1}
since she would have two 'older' sons not an 'oldest'.
888 +88 +8 +8 +8 =1,000
2)One of the 'fathers' is also a
grandfather. Therefore the other father is both a son and a father to the
grandson.
In other words, the one father is both a son and a father.
3)So to figure out how to answer the riddle you had to see what
distinguishes the number 1? Only that we are including 1,000 which would be the
first '1' in a new series of ten! In other words, the digit 1 only has a single
extra occurrence (301 occurrences) compared to 2 or 3 or 9 which each have
exactly 300 occurrences.
4)There are many ways of explaining/thinking about
this truly brain bending riddle! It all boils down to the fact that the
lawyers' math is incorrect. They did NOT spend $9 • 3 + $2.
They
spent exactly $27 dollars. $25 for the room and $2 for the tip. Remember they
got exactly $3, in total back.
Another way to think about the answer to this
riddle is to just pretend that the bellhop refunded $3 to the lawyers (rather
than giving them $5 and receiving $2 back). If the lawyers get $3 back and each
takes $1. They spent exactly $27 dollars.
In a certain country ½ of 5 = 3. If the same proportion holds, what is the
value of 1/3 of 10 ?
5)11 cartons total
7 large boxes (7 * 8 = 56 boxes)
4 small boxes (4 10 = 40
boxes
11 total cartons and 96 boxes
6)Every farmer's part is 1/3(45+75)
= 40 sacks.
Charlie paid $1400 for 40 sacks, then 1 sack costs
$1400/40 = $35/sack.
Adam got $35*(45-40)=35*5 = $175.
Ben
got $35*(75-40)=35*35 = $1225.
Answer: Ben $1225, Adam $175
7)Answer: { 2, 2, 9}
If you list out the trio of factors that
multiply to 36 and their sums, you get : • 1 1 36 = 38
•1 2 18 = 21
•1 3
12 = 16
•1 4 9 = 14
•6 6 1 = 13
•2 2 9 = 13
•2 3 6 = 11
•3 3 4 =
10
Since the number on the house next door is not enough information there
must be more than 1 factor trio that sums up to it, leaving two possibilities: {
6, 6, 1} , {2, 2, 9} . When she says her 'oldest' you know it can not be {6,6,1}
since she would have two 'older' sons not an 'oldest'.