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# math problem

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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