Solve the mathematical puzzle.
S is a three-digit number. Determine the digits of S from the clues.

All the digits are odd.
The last two digits add to make ten.
The first and last digits add to make eight.
The first two digits add to make twelve.
S is ?

Question

Solve the mathematical puzzle.
S is a three-digit number. Determine the digits of S from the clues.

All the digits are odd.
The last two digits add to make ten.
The first and last digits add to make eight.
The first two digits add to make twelve.
S is ?

rishavraj · Answer

S=xyz
y+z=10
x+z=8
x+y=12
proceed

anonymous · Answer

I just did the entire process on a piece of notebook paper... The answer is 573, right?

rishavraj · Answer

yuppp

anonymous · Answer

Thanks!

tkhunny · Answer

Start enumerating.  I'll invent the notation:

Digits {123456789}{0123456789}{0123456789}

All odd {13579}{13579}{13579}

Last 2 make 10: {13579}{{19}{37}{91}{73}}

First and Last make 8: Initially: {1357}{{37}{91}{73}}
Then: {137}{573}{791}

First 2 are 12: {573}

Done. Just get ALL the information from each clue.