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I am a three digit number I'm exactly divisible by 24 and 36 the quotient for 24 is 6 more than the quotient of 36 what number am i?
Wiki User
∙ 13y ago
The answer is 432.
From the problem you can set up two equations and solve them for your answer x.
x/24 = n +6
x/36 = n
...
from the second equation we know n = x/36. Plug this into the first equation.
then,
x/24 = x/36 +6
...
rearranging,
x/24 - x/36 = 6
...
finding a common denominator,
3x/72 - 2x/72 = 6
...
x/72 = 6
...
x = 6 * 72
...
x = 432
Your final answer.
Wiki User
∙ 13y ago
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