SOLUTION: Mrs.Rossi wrote the following clues for a mystery numbers it is a 4-digit number the tens are double the ones the thousands are double the tens the sum of the digits is 19

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Question 1111472: Mrs.Rossi wrote the following clues for a mystery numbers
it is a 4-digit number
the tens are double the ones
the thousands are double the tens
the sum of the digits is 19
what number is it
Answer by stanbon(75887) About Me  (Show Source):
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Mrs.Rossi wrote the following clues for a mystery numbers
it is a 4-digit number = a10^3+b10^2+c10+d
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the tens are double the ones: c = 2d
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the thousands are double the tens:: a = 2c = 4d
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the sum of the digits is 19 :: a + b + c + d = 19
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what number is it?
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Substitute for a and c to get:
4d + b + 2d + d = 19
b + 7d = 19
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d = 2 ; b = 5 ; a = 4 ; a = 8
Ans:: 8542
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Cheers,
Stan H.
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