Question

A no is divided by 67 gives remainder 45 if the same no is divided by 76 what will be the remainder

Answer 1

let the no= x

Case 1 :
x /67 = 45

x= 3015

Case 2:

3015 / 76 = 39.6

Answer 2

divisor= 67 , remainder = 45
dividend = divisor× quotient + remainder
dividend= 67× quotient + 45........(eq1)
dividend/76 = remainder........(eq2)
from eq 2
(67× quotient+45)/76= remainder
let quotient =1

(67× 1+45)/76= remainder
(67+45)/76 = remainder
112/76 = remainder
remainder= 36