Math, asked by swetanks2007, 2 months ago

If a number on division by 56 leaves remainder 20 then the remainder obtained when same number is divided by 14 is equal to :

Answers

Answered by banwaitharshdeep2
2

Step-by-step explanation:

Suppose X be our Number, which gives remainder 20 when divided by 56. Therefore using Division Algorithm there exist a natural number q such that

X = 56q + 20

Then, X(mod 14) = (56q + 20) mod 14 = (56q mod 14 + 20 mod 14)mod 14

Note that 56q mod 14 = 0 as 56 is a multiple of 14.

and 20 mod 14 = 6 (as 20 = 14 × 3 + 6)

so, X mod 14 = 0 +6 = 6

Remark:- X mod 14 means the value of remainder when number X is divided by 14.

Thanks

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