A number when divided by 342 gives a remainder 47. When the same numbe

1.	A number when divided by 342 gives a remainder 47. When the same number if 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 – 342 k + 47 = (19 x 18k + 19 x 2 + 9) = 19 (18k + 2) + 9. The given number when divided by 19, gives (18k + 2) as quotient and 9 as remainder.

A number when divided by 342 gives a remainder 47. When the same number if 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 – 342 k + 47 = (19 x 18k + 19 x 2 + 9) = 19 (18k + 2) + 9.

The given number when divided by 19, gives (18k + 2) as quotient and 9 as remainder.