Question

(a) Among three positive numbers the product of first and second
is 32, that of second and third is 144 and that of first and third
is 72. Find the sum of the numbers.​

Answer 1

Answer:

0f three positive numbers the product of the first and second is 42, that of the second and third is 56 and that of third and first is 48. The third number is

A) 12

B) 6

C) 7

D) 8

Correct Answer:

D) 8

Description for Correct answer:

Let first, second and third numbers be x, y and z, respectively.

Then, xy = 42 ...(i)

yz = 56 ...(ii)

xz = 48 ...(iii)

Multiplying Eqs. (i), (ii) and (iii), we get

(xyz)2=42×56×48

=> (xyz)2=112896

=> xyx=336

Dividing Eq. (iv) by Eq. (i), we get

xyzxyz=33642=>z=8

Step-by-step explanation:

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