Question

dividing 643 by a certain number the quotient is 12 and the remainder is 19 find the number using division algorithm​

Answer 1

divident = divisor * quotient +reminder

we use that theorm for solving that statement

here we consider 643  as a divident

and quotient =12   and reminder is = 19

put the value of both the given numbers in the formula

643 = x * 12 +19  

643- 19 =x*12

624 =x*12

624/12 = x

x=52

hope it will help you

Answer 2

answer-

we know,

a=bq+r

A.T.Q

a=643

q=12

r=19

b=?

putting values

643=b*12+19

643-19=12b

624=12b

624/12=b

52=b

therefore,the number is 52.