A, B, C are three distinct natural
numbers less than 11. The arithmetic
mean of A and B is 9 and the
geometric mean of B and C is 672.
What are the values of A, B and C,
respectively?
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12
Answer:
ANSWER
abc
is three digit numbers.
⇒
2
b+c
=bc
⇒ b+c=2bc
Put c=0 b+0=0 ⇒b=0
c=1 b+1=2b ⇒b=1
c=2 b+2=4b ⇒b=
3
2
.
.
Only c=0,b=0
and c=1,b=1
and a=1,2,3,4,5,6,7,8,9
⇒ 9×2×1 If [
b=0→c=0
b=1→c=1
]
⇒ Total =9×2×1=18
Step-by-step explanation:
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