Question

Find the smallest number which when divided by 18,12 and 24 leaves a reminder of 16,10, and 22, respectively

Answer 1

Hiii

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Let this number be n, then n shall be the Least Common Multiple (LCM) of 18, 12, and 24 minus 2, as we noticed that when it is divided by 18, 12, and 24, it leaves a remainder of 16, 10, and 22, respectively.

18≡2×32

12≡22×3

24≡23×3

LCM(18,12,24)=23×32=72,

∴n=72−2=70.

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hope it will help u.............