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Question Number 92151 by jagoll last updated on 05/May/20

$$\mathrm{If}\mathrm{p}\mathrm{and}\mathrm{q}\mathrm{are}\mathrm{positive}\mathrm{integers}$$$$\mathrm{such}\mathrm{that}\mathrm{the}\mathrm{value}$$$$\mathrm{pq}+2\mathrm{p}+2\mathrm{q}=217$$$$\mathrm{find}\mathrm{p}+\mathrm{q}$$

Commented by john santu last updated on 05/May/20

$$\Rightarrow (p+2)(q+2)=17\times 13$$$$p+2+q+2=30$$$$p+q=26$$$$$$

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