Puzzle a Day!
MartinH Offline
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#321
{1,2,3} ?
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Veggie Offline
Super Pest Controller
#322
Following on from this puzzle, is one from another book.

6 is a Perfect Number because the 3 numbers that divide it exactly, add up to the number 6.
There are only 2 more Perfect numbers below 500.
Can you find them?
The Moneyless Chicken says:- 
Use it up, wear it out, make it do or do without.
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Admin Offline
The Boss
#323
I know both but here's just one 496
I am only the Boss because Veggie lets me be!
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JJB Offline
Moonraker
#324
Both Martin and the Boss are so good at these number puzzles. Do you both already know the answers or do you work them out. I'm left way behind.
Gardening is an excuse not to do housework
Greetings from Salisbury
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Admin Offline
The Boss
#325
I knew because I helped my grandson (11) with his homework
I am only the Boss because Veggie lets me be!
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MartinH Offline
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#326
I haven't done this one. I tried a few potential candidates but nothing worked out. I can't think of a way of finding the answer other than just trial and error, so lost interest quickly Smile
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MartinH Offline
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#327
(14-11-2021, 02:57 PM)MartinH Wrote: I haven't done this one. I tried a few potential candidates but nothing worked out. I can't think of a way of finding the answer other than just trial and error, so lost interest quickly Smile
28 = 14 + 7 + 4 + 2 + 1

Smile
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Veggie Offline
Super Pest Controller
#328
I've no idea how to find the answer either but 28 & 496 are the correct answers.

I can't ask you all the puzzles as some need diagrams that I can't replicate. Next question is another numbers one, sorry. Wink

Take the number 80 and divide it into four parts - four numbers which add up to 80, so that :-

If you add 3 to the first number
Subtract 3 from the second number
Multiply the third number by 3
and divide the fourth number by 3
You will be left with the same answer.

What are the original four numbers that make up 80?
The Moneyless Chicken says:- 
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MartinH Offline
Member
#329
Oooh, algebra practice!
12, 18, 5, 45.
That was fun!

a+3 = b-3 = c*3 = d/3
a+b+c+d = 80
a+a+6+(a+3)/3+(a+3)*3 = 80
a+a+6+a/3+1+3a+9=80
5a+a/3=64
16a=192
a=12
b=18
c=5
d=45
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JJB Offline
Moonraker
#330
That was clever Martin, my long forgotten algebra vaguely understood all the steps. Thanks for showing the workings.
Are numbers your trade. Smile they're certainly not mine!
Gardening is an excuse not to do housework
Greetings from Salisbury
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