Question

Show that some positive multiple of 51 has the last three digits equal to 143.

Answer 1

I have explained each and every basic step in the solution

Just read it with patience

I have circled the steps and also labelled them so that u could know the order in which u need to read them

I have just tried to make u understand it in a very simple way :)

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a multiple of 51 to end at 3, it must be numbers multiplied by with it one's foam -3 do, the number must be of Now, checking from multiplication method :- 551 Step 5 X_-413 To get y here, 253 14 must be put at 100's place) 9XX To get 9 hore) (9) should also To get 1 here, 5+H) must be added be at the to 4 to get 1 at 100's place & transfer the carry 193 START number FROM + HERE After putting To get 4 at 10's place, & that no at 5 must be added to lo's place. He to get y and multiplication tranferred would be 95 Step 2 459x XXX lo's place of the req carry I will be Step 1 Step 3 Hence, the number to with 51 must end get 143 at the end. be multiplied with [4937 to So, there are infinite multiples for the digits at the at the last should be 493. eg. 3993 , 256493 3279493 etc. 7