Question

ABC are three distinct natural numbers less than 11.arithmatic mean of a and b is 9 and geometric mean of b and c is 6√2 what are the value of ab c

Answer 1

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