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How many positive integers t will make the expression 19/t + 5/t + 2/t have an integral value?

 Jul 28, 2022
 #1
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t==1 ,2 ,13 ,26==4 such positive integers.

 Jul 29, 2022
 #2
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Add the fractions to get \({26 \over t}\)

 

So, t must be 1 of the \(\color{brown}\boxed{4}\) divisors of 26 (1,2,13,26)

 Jul 29, 2022

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