Suppose $P$ and $Q$ both represent prime numbers such that $5 ∙ P + 7 ∙ Q = 109$ . Find the value of the prime $P$

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Solution

On observation, we get
$5 \times 19 + 7 \times 2 = 109$
Where $19$ and $2$ are primes.
On comparing with,
$5 P + 7 Q = 109 P = 19$

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Suppose P and Q both represent prime numbers such that 5∙P+7∙Q=109. Find the value of the prime P

On observation, we get5×19+7×2=109Where 19 and 2 are primes.On comparing with, 5P+7Q=109P=19

Suppose $P$ and $Q$ both represent prime numbers such that $5 ∙ P + 7 ∙ Q = 109$ . Find the value of the prime $P$

On observation, we get
$5 \times 19 + 7 \times 2 = 109$
Where $19$ and $2$ are primes.
On comparing with,
$5 P + 7 Q = 109 P = 19$