a number when divided by 342 gives a remainder 47 the same, Numbers, General Mathematics

Question:A number when divided by 342 gives a remainder 47.when the same number is divided by 19,what would be the remainder ?

Answer On dividing the given number by 342,let k be the quotient and 47 as remainder.
Then, number `=342k+47`
                     `=(19x18k+19x2+9)=19(18k+2)+9`
      `:.`The given number when divided by 19,gives (18k+2) as quotient and 9 as remainder.

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A number when divided by 342 gives a remainder 47.when the same number is divided by 19,what would be the remainder ?

Question:A number when divided by 342 gives a remainder 47.when the same number is divided by 19,what would be the remainder ?

Answer On dividing the given number by 342,let k be the quotient and 47 as remainder. Then, number `=342k+47` `=(19x18k+19x2+9)=19(18k+2)+9` `:.`The given number when divided by 19,gives (18k+2) as quotient and 9 as remainder.