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A certain prime is divided by 5 to result in a fraction. Then the fraction's numerator is increased by 4 and its denominator is doubled, after which the resulting fraction is simplified. If the denominator of the result is odd, what is ?

Given: After simplification, the Denominator of the result is odd...

(x+4)/(5*2)

After simplification, the denominator is 5... which means, the numerator is a multiple of 2 [because 2 got cancelled from the numerator and denominator

Hence, the new numerator is EVEN

x+4 = EVEN

Which means that x is Even

also, x is prime... Thus x is an even prime!!

Viola, the original prime number is 2 _________________

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