A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number X is Choose the correct choice from the following answers.
A) 74  B) X=75  C) X=175  D) X=680  E) 690
I solved this question by plugging in numbers from the answer choices.   A.) 74   Starting with answer choice A, I immediately eliminated it because 74 is not even divisible by 5.   B.) 75   I divide 75/5 and get 15 as an answer. I divide 75/34 and get a remainder of 7.   15-7= 
<gadget id="calculator">15-7</gadget>
<output>8</output>
8 so I know the correct answer isX=75
<result>B</result>
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number X is