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Question 463105: I am a number greater than 50,000 but less than 70,000. My ones digit and tens digit are the same. My ten thousands digit is three times the sum of my ones digit and tens digit. Both my thousands digit and hundreds digit are half my ten thousands digit. What number am I?
Found 2 solutions by amoresroy, alicealc:
Answer by amoresroy(361)   (Show Source):
You can put this solution on YOUR website! I am a number greater than 50,000 but less than 70,000. My ones digit and tens digit are the same. My ten thousands digit is three times the sum of my ones digit and tens digit. Both my thousands digit and hundreds digit are half my ten thousands digit. What number am I?
Let x = ones digit
x = tens digit
3(x+x) = 6x = ten thousands digit
6x/2 = 3x = thousands digit
3x = hundreds digit
The ten thousand digit should be divisible by 2 and should be between 5 & 7. So, the ten thousands digit is 6.
6/6 = 1 = ones digit = tens digit
3(1) = 3 = thousands digit = hundreds digit
The number is 63,311.
Answer by alicealc(293)  (Show Source):
You can put this solution on YOUR website! let the number = abcde
(a, b, c, d, and e should be whole numbers/integers)
the number is greater than 50,000 but less than 70,000, so the possibility of the value of "a" is 5 or 6
ones digit and tens digit are the same: e = d
ten thousand digit is three times the sum of ones and tens digits:
a = 3*(e + d)
a = 3*(d + d)
a = 3*2d
a = 6d
thousands digit and hundreds digit are half of ten thousand digit
b = 1/2 * a = 1/2 * 6d = 3d
c = 1/2 * a = 1/2 * 6d = 3d
if a = 5 then 5 = 6d -> d = 6/5 (not a whole number)
so a = 6
6 = 6d -> d = 6/6 = 1
e = d = 1
b = 3d = 3*1 = 3
c = 3d = 3*1 = 3
so, the number is 63311
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