Question

if a positive integer a is divided by 7, the remainder is 4. what is the remainder if 3a+5 is divided by 37​

Answer 1

the answer is 20.

Explanation:

If a positive integer a is divided by 7, the remainder is 4, we can write it as:

a = 7b + 4

where b is an integer.

Now, we can substitute this expression into the expression for 3a+5:

3a+5 = 3(7b+4) + 5

= 21b + 12 + 5

= 21b + 17

We can see that 21b is divisible by 37, so the remainder when 3a+5 is divided by 37 is simply the remainder when 17 is divided by 37. This remainder is 20.

Therefore, the answer is 20.