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Need help... Solve this Word Problem

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.

1 Answer

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y+z=10

x+z=8

x+y=12

(y+z)-(x+z)=10-8

y-x=2

y-x=2

y+x=12

solve simultaneously

x=5, y=7

then substitute to get z=3

hence xyz=573

User Mainstreetmark
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