SOLUTION: The sum of my tens and hundreds digit is my thousands digit. My hundreds digit is 1 less than my tens digit. My ones digit is greater than 7 and a multiple of 4. My tens digit is

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Question 1085195: The sum of my tens and hundreds digit is my thousands digit. My hundreds digit is 1 less than my tens digit. My ones digit is greater than 7 and a multiple of 4. My tens digit is is 3 less than my ones digit. What is my number?
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
you have abcd+ number where a is thousands, b hundreds, c tens, and d ones
if the sum of my tens and hundreds digit is my thousands digit, I have
b%2Bc=a
My hundreds digit is 1 less than my tens digit: b=c-1
My ones digit is greater than 7+and a multiple of 4. ->d=8 because 8%3E7 and 8 is multiple of 4
My tens digit is is 3+less than my ones digit. ->c=8-3->c=5
What is my number?
so far we know:
b%2Bc=a
b=c-1
c=5
d=8
find a
a=b%2Bc...replace b withc-1
a=c-1%2Bc
a=2c-1
a=2%2A5-1
a=9
find b
b=c-1
b=5-1
b=4
and, your number is: 9458+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of my tens and hundreds digit is my thousands digit. My hundreds digit is 1 less than my tens digit. My ones digit is greater than 7 and a multiple of 4.
My tens digit is is 3 less than my ones digit. What is my number?
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Let the number be T*10^3 + h*10^2 + t*10 + u
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Equations:
T = t+h
h = t-1
u = 4k and u > 7 (So, u must be 8)
t = u-3
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Combining::
T = (u-3)+(u-3-1) = 2u-7 = 16-7 = 9
Also, T = t + t-1 = 2t-1
So 2t-1 = 9
Then t = 5
And h = t-1 = 4
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Ans:: 9458
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Cheers,
Stan H.
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