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Question

Find the value of p:
a2=b3=c4=2a3b+4cp

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Solution

a2=b3=c4=2a3b+4cp=m
a=2m,b=3m,c=4m
2a3b+4c=mp
2(2m)3(3m)+4(4m)=mp
4m9m+16m=mp
20m9m=mp
11m=mp
p=11

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