Puzzle | 4 items in a store; a*b*c*d = a+b+c+d

 
PART 1

 

The price tags on three items in a store are :

Amount=\char36 0.75
Amount=\char36 2.20
Amount=\char36 5.50

We note that

0.75 \; \times \: 2.00 \; \times \: 5.50 \; = \; 0.75 \; + \; 2.00 \; + \; 5.50 \; = \; 8.25

Find four prices,   a,   b,   c,   and   d   such that

a \; \times \: b \; \times \: c \; \times \: d \; = \; a \;  + \; b \; + \; c \; + \; d \; = \; 8.25

 
Paul and David answered correctly

Amount=\char36 0.50
Amount=\char36 2.00
Amount=\char36 2.75
Amount=\char36 3.00

0.5 \; \times \: 2 \; \times \: 2.75 \; \times \: 3 \; = \; 0.5 \; + \; 2 \; + \; 2.75 \; + \; 3 \; = \; 8.25

 

                                                             ——————————————
 
PART 2

 
 

Find four prices,   A,   B,   C,   and   D   such that

A \; \times \: B \; \times \: C \; \times \: D \; =\; A \: + \: B \: + \: C \: + \: D \; =\; 6.75

 
 

N.B.   there are two solutions.

 
 
 
 
 
 
 
 
 
 
 

Advertisements

About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged , . Bookmark the permalink.

One Response to Puzzle | 4 items in a store; a*b*c*d = a+b+c+d

  1. Paul says:

    The two solutions are:-

    1, 1.5, 2, 2.25
    1.2, 1.25, 1.8, 2.5

    Paul.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s