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53000 in 2 part .both part divide by 6 like 9 two part 6 3 both dive by 3 like this

 Jun 9, 2015

Best Answer 

 #1
avatar+33615 
+10

Assuming you mean that the two parts must be integers, then there is no way of doing this.

 

Assume the two integers are a and b.  

a + b = 53000

 

Both a and b are exactly divisible by 6, so let a = 6m and b = 6n where m and n are also integers.  Then

6m + 6n = 53000

 

m + n = 53000/6

 

Because m and n are integers the LHS must be an integer.  However, the RHS, 53000/6, is not an integer (53000/6 ≈ 8833.333).

 

Hence the initial assumption that there are two integers, both exactly divisible by 6, that sum to 53000, is false.

.

 Jun 9, 2015
 #1
avatar+33615 
+10
Best Answer

Assuming you mean that the two parts must be integers, then there is no way of doing this.

 

Assume the two integers are a and b.  

a + b = 53000

 

Both a and b are exactly divisible by 6, so let a = 6m and b = 6n where m and n are also integers.  Then

6m + 6n = 53000

 

m + n = 53000/6

 

Because m and n are integers the LHS must be an integer.  However, the RHS, 53000/6, is not an integer (53000/6 ≈ 8833.333).

 

Hence the initial assumption that there are two integers, both exactly divisible by 6, that sum to 53000, is false.

.

Alan Jun 9, 2015

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