Of three

Of three positive numbers the product of the first and second is 42, second and third is 56 and that of third and first is 48. Find the third number.

Correct answer:

c =  8

Step-by-step explanation:

ab=42 bc=56 ca=48  c(42/b)=48 c(42/(56/c))=48 c 42/56 c=48 c2 = 48 56/42 c2 = 64  c=64=8   Verifying Solution:   b=56/c=56/8=7 a=42/b=42/7=6  p1=a b=6 7=42 p2=b c=7 8=56 p3=c a=8 6=48



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Showing 1 comment:
Dr Math
A*B= 42
B*C=56
C*A=48
AB*BC*CA=42*56*48
=>A*B*C=√(42*56*48) = 336
C=336/A*B = 336/42=8
Third number is 8





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