Question

when a certain number is devide by 223.the remainder is 79.when that number is divided by 179,the quotient is 315;then what will be the remainder?

Answer 1

Answer : $\bold{Remainder \: = \: 113}$



Explanation -


1)
Given :

Divisor = 223

Remainder = 79

Dividend = Divisor x Quotient + Remainder


= 223 x Q + 79

= 223Q + 79

________________________

2)

Given :

Divisor = 179

Quotient = 315

Dividend = Divisor x Quotient + Remainder

= 179 x 315

= 56385


So, when we divide the number 55385 by 223 we get 252 as quotient and 189 as remainder.


56385 ÷ 223

Quotient = 252

Remainder = 189 .


Required Number = (223 - 189) + 79 = 34 + 79 = 113.


Hence :


$\bold{Remainder \: = \: 113}$