Question 46

Find the least number which when divided by 20, 25, 35 and 40 leaves remainder 14, 19, 29 and 34 respectively?

Solution

LCM of 20, 25, 35, and 40 = 1400

Now,

20 - 6 = 14

25 - 6 = 19

35 - 6 = 29

40 - 6 = 34

So, (1400 - 6 = 1394) will have remainder of 14, 19, 29, and 34 when divided by 20, 25, 35, and 40 resp.

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