Question

if ab=6 bc=12 and ac=8 then find a+b+c​

Answer 1

ab-6
bc-12
ac-8
=6+12+8
=26

Answer 2

Answer: a+b+c = 9.

Step-by-step explanation:

ab = 6

a = 6/b ____(i)

bc=12

b = 12/c ____(ii)

ac=8

c = 8/a

c = 8/(c/2) [a = c/2]

c = 16/c

c² = 16

c = 4 ____ (iii)

Now putting the value of 'c' in equation (ii),

In equation (ii)

b = 12/c

b = 12/4 [c = 4]

b = 3.

Now putting the value of 'b' in equation (i),

a = 6/b

a = 6/3. [b = 3]

a = 2.

Now, we have to find the value of- a+b+c

= 2+3+4 [a = 2, b = 3, c = 4]

= 9

Therefore the value of a + b + c = 9.

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