Find the last three digits of the sum of distinct prime factors of 3 12 2 14

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The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

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Latest Maths Olympiad Aptitude Question SOLUTION: find the last three digits of the sum of distinct prime factors of 3^12+2^14

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