Question

we say that a two digit number n is Irie if 109 / it has a remainder of 4 what is the sum of all the two digit Irie numbers

Answer 1

Answer:

71

Step-by-step explanation:

Hi,

Given that a 2 digit number 'n' is said to be Irie if 109/n leaves a remainder

4

By using Division Algorithm,

⇒All Irie's are of the form nk + 4 = 109, where k is positive integer

⇒ nk = 105

Thus, n should be a factor of 105.

Considering all the 2 digit factors of 105, we get

15, 21, 35 as the only 2 digit Irie numbers.

Sum of all the 2 digit Irie numbers will be

(15 + 21 + 35)

= 71.

Hope, it helped !