An Unusual Division Example. Here is a rather curious puzzle. Find the smallest number that, when successively divided by 45,454,4545, and 45454, gives remainders of 4,45,454, and 4545, respectively. Finding such a number might not be easy, but solving the problem will refresh your knowledge of arithmetic.
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
120. The smallest number that satisfies all the conditions is 35641667749. Other numbers are obtained by adding to this any integer multiple of 46895573610.
Source: NuminaMath-1.5,
licensed Apache-2.0.
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