Question

if a number is divided by 119 then the remainder is 19 if the number is divided by 17 what will be remainder?​

Answer 1

QUESTION⤵️

if a number is divided by 119 then the remainder is 19 if the number is divided by 17 what will be remainder?

ANSWER ⤵️

$119 = 17 \times 17$

Let n be the number.

119 divides (n-19) exactly or with 0 reminder => 17 divides n with 0 reminder

n = (n-19) + 19. When n is divided by 17, first term on RHS leaves 0 reminder and 2nd term leaves reminder of 2

So when n is divided by 17, reminder is 2

ANSWER IS 2...

HOPE IT HELPS

Answer 2

Let, the Number = x

Quotient = q

Divisor = (d) = 119

Remainder = (r) = 19

X = (d x q) + r

X = (119 x q) +19 Same number when divided by "17"

x = (17 x 7 x q) + 17 + 2

= 17 (7q + 1) + 2

Remainder is 2

Hope it was helpful☺

Good evening