Question

If m is the largest number such that, when 290 is divided by m it gives remander as 10, when 146 is divided by m it gives remainder as 6, and then 345 is divided by m it gives remainder as 5, what is the number

Answer 1

Answer:

29 is the number

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Answer 2

So now let’s say suppose 290/m is x and the remainder is 10 then m*x = 280 (because remainder is 10) now in a similar situation where 146/m = x and remainder is 6 which means m*x=140. Same applies to the third number where remainder is 5 . Now find the HCF of the three numbers (280,140,340).
Well, I did not get the perfect answer but I am asking you to try this procedure