If one number is divided by 345, the remainder is 35. If the same number is divided by 15, what is the remainder ?

Given:

A number N leaves a remainder 35 when divided by 345.

We need to find the remainder when N is divided by 15.

Calculation:

Let the number be represented as:

N = 345k + 35

for some integer k.

Find remainder of 345 when divided by 15

345 ÷ 15 = 23 remainder 0

So, 345k is completely divisible by 15.

Find remainder of 35 when divided by 15

35 ÷ 15 = 2 remainder 5

Thus, the remainder when N is divided by 15 is 5.

Final Answer: 5