Question 145

The least number which when divided by 35, 45, 55 leaves the remainder 18, 28, 38
respectively is

Solution

here we need to find least number which when divided by 35, 45, 55 leaves the remainder 18, 28, 38

35 - 18 = 17

45 - 28 = 17

55 - 38 = 17

the number will be of the form = LCM(35,45,55)K - 17

N = 3465k - 17

for least value put k = 1

N = 3448

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The least number which when divided by 35, 45, 55 leaves the remainder 18, 28, 38respectively is