What is the least number that must be added to 2000so that the sum is devided exactly by 10,12,16 and 18

Question

Mathematics

Jasiah Jenkins

11 October, 17:17

What is the least number that must be added to 2000so that the sum is devided exactly by 10,12,16 and 18

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Answers (1)

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Esperanza · Answer 1

10 = 2.5; 12 = 2².3; 126 = 2^4; 18 = 2.3²

the least common multiple is 2^4.5.3 = 240

then we have (2000 + x) = 240. k

2000 = 240.8 + 80 and 240.9 = 2160

then x = 160