if 2P6 + 37Q = 594, find the value of P and Q.
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Step-by-step explanation:
PQ
× 6
From the first column
Q is a unit place digit such that product Q×6 also has unit place digit Q
For Q=2 carry over is 1
P×6+1=22
⇒P×6=21
So, not possible.
For Q=4 carry over is 2
P×6+2=44
⇒P×6=42
⇒P=7
For Q=6 carry over is 3
P×6+3=66
⇒P×6=63
So, not possible.
For Q=8 carry over is 4
P×6+4=48
⇒P×6=44
So, not possible.
So, only one pair of P and Q is possible that is
P=7,Q=4
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