If p, q and r are positive integers and p + 1 ⁄ (q + (1 / r)) = 129/31 then what is the value of p + q + r? a. 15 b. 26 c. 31 d. 129 e. 160

We have that
p + 1 ⁄ (q + (1 / r)) = 129/31

we know that
129/31> is equal to (4+5/31)
(4+5/31)> 4+1/31/5
4+1/31/5> 4+1/(5+(1/6))
By comparing
p=4
q=5
r=6
so
p+q+r> 4+5+6> 15

the answer is the option
A. 15

The answer would be option 4

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