Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
and 
be two numbers where 
< 
. The geometric mean of these numbers exceeds the smaller number 
by 12 and the arithmetic mean of the same numbers is smaller by 24 than the larger number 
, then the value of | 
- 
|is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
48
Given, 
and 
be two number where 
< 
.
The geometric mean of these numbers exceeds the smaller number 
by 12.
i.e. 
.....(i)
And the arithmetic mean of the same numbers is smaller by 24 than the number 
.
i.e. 
...... (ii)
By solving Equations, (i) and (ii), we get 
= 6, 
= 54
| 
- 
| = |54-6|=48
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