a math problem

[Jason.tuyj]

When positive integer n is divided by 5, the remainder is 1. When n is divided by 7 , the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 35?

a: 3
b: 4
c: 12
d: 32
e: 35

[karan13]

the question say that n/5 leaves remainder 1
n=5*quotient + remainder
therefore n=5*1+1=6 so it can be 6,11,16,21,26,31 and so on

now apply the same thing with 7
n=7(1)+3 so n can be 10,17,24,31 and so on... since its asking or the smallest one thereone the first no that is common is 31. so we add 4 to it to get 35 and that is a factor of 35.

ans b. Please let me know if the ans is right.

[Jason.tuyj]

Yes. B is correct. Thank you for the help.

the question say that n/5 leaves remainder 1
n=5*quotient + remainder
therefore n=5*1+1=6 so it can be 6,11,16,21,26,31 and so on

now apply the same thing with 7
n=7(1)+3 so n can be 10,17,24,31 and so on... since its asking or the smallest one thereone the first no that is common is 31. so we add 4 to it to get 35 and that is a factor of 35.

ans b. Please let me know if the ans is right.

[jnelson0612]

Thanks karan!