Question

Suppose that a, b and c are positive integers such that ab = 18, bc = 24 and ac = 48. What is the value of a + b + c ?

Answer 1

Answer:

13 is the answer

b=18/a

18c=24a

c=48/a

18*48/24=a^2 a= 6

b= 3

c =4

Answer 2

Answer:

The value of a + b + c is 17

Step-by-step explanation:

As per the data given in the question,

We have,

ab=18

b=18/a........(i)

ac=48

c=48/a........(ii)

As, bc=24

multiplying (i)(ii)

$\frac{18}{a} \times \frac{48}{a} = 24\\\\a^{2} = \frac{18\times 48}{24} \\\\a^{2} =36\\a=6$

Putting a in (i) and (ii)

b=3 and c=8

So, a+b+c = 6+3+8 = 17

Hence, The value of a + b + c is 17

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