MathDB

3

Part of 2003 May Olympiad

Problems(2)

a\(8b+1) and b \(8a+1)

Source: IX May Olympiad (Olimpiada de Mayo) 2003 L2 P3

9/19/2022
Find all pairs of positive integers (a,b)(a,b) such that 8b+18b+1 is a multiple of aa and 8a+18a+1 is a multiple of bb.
number theorydividesmultiple
min multiple of 56, ending in 56 with sum of digits 56

Source: IX May Olympiad (Olimpiada de Mayo) 2003 L1 P3

9/22/2022
Find the smallest positive integer that ends in 5656, is a multiple of 5656, and has the sum of its digits equal to 5656.
number theorymultiplesum of digits