### Brain Teasers

# Bodyguards

Beau Vine and Faye Slift, the world famous Madadian Movie stars, together have more than 10 but fewer than 30 bodyguards. One day, one of the bodyguards, Knuckles, decided to leave Beau Vine and join Faye Slift. Now both the females had the same number of bodyguards.

Eventually, Knuckles rejoined Beau Vine. Also, Masher decided to leave Faye Slift and join Beau Vine. Now, both the females had a prime number of bodyguards.

How many bodyguards did each have now?

Eventually, Knuckles rejoined Beau Vine. Also, Masher decided to leave Faye Slift and join Beau Vine. Now, both the females had a prime number of bodyguards.

How many bodyguards did each have now?

### Answer

Beau Vine has 11 bodyguards and Faye Slift has 7 bodyguards.If one bodyguard is moved from one group to the other, it decreases one group by one and increases the other by one.

Before Knuckles joined Faye Slift, Beau Vine had two more bodyguards than Faye Slift (since Knuckles's switch made the number of bodyguards of both the females equal).

When Knuckles switched back to Beau Vine, once again Beau Vine had two more bodyguards than Faye Slift. Then, Masher moved from Faye Slift to Beau Vine, decreasing Faye Slift's bodyguards by one and increasing Beau Vine's bodyguards by one. Hence, Beau Vine had four more bodyguards than Faye Slift.

It is given that together they had more than 10 but fewer than 30 bodyguards. Also, at the end they both had prime number of bodyguards. The only numbers fit the given conditions are 7 and 11.

Hence, now Beau Vine has 11 bodyguards and Faye Slift has 7 bodyguards.

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## Comments

I think the answer is wrong.

Here is how I worked it

10 Total

6 5 7

4 5 3

Start out with 6 and 4

One leaves so now it's 5 and 5

Two leaves so now it's 7 and 3

The given answer doesn't use this method.

Here is how I worked it

10 Total

6 5 7

4 5 3

Start out with 6 and 4

One leaves so now it's 5 and 5

Two leaves so now it's 7 and 3

The given answer doesn't use this method.

the answer is right since the question says that total number of bodyguard is more than 10 so taking total 10 will not work.

The teaser goes to an awful lot of trouble to ask: what two prime numbers have a difference of four and a total between 10 and 30, exclusive. Way simple.

but where would the fun be in that?

Exactly. You can construct the teaser around any math, so why not choose something more interesting?

I think after over 500 teasers it is not always so easy to come up with interesting ideas that will appeal to every one.

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