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19 votes
When a number is divided by 5 , the quotient is 8 and the remainder is 3. What is the number?


User Nona
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1 Answer

22 votes
22 votes

let's call the number "n", so we have a short term to talk about it

n will not exactly divisible by 5, because the remainder would be zero then.

since the remainder is 3, the number will be an integer that satisfies n = 5x + 3

example for 2x:

n = 5*2 + 3 = 13

if we devide 13 by 5, we would get 3 as remainder.

here the quotient would be 2 (the solution you get by dividing two numbers)

"x" is the quotient, so let's set it as 8

n = 5*8 +3

n = 43

checking it:

devide 43 by 5, you'll get 8 as the quotient and 3 as remainder.

hope it helps. Feel free to ask any question.

User Shelper
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