## 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'.