Question
The A.M. of two positive numbers is 15 and their GM is 12. What is the bigger number?
Answer: Option C
:
C
Let the numbers be x and y.
x+y=30
xy = 144
(x−y)2=(x+y)2−4xy
900−(4×144)=324
hence (x–y)=18
Solving:x−y=18&x+y=30
x = 24, y = 6
So, the bigger number is 24.
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:
C
Let the numbers be x and y.
x+y=30
xy = 144
(x−y)2=(x+y)2−4xy
900−(4×144)=324
hence (x–y)=18
Solving:x−y=18&x+y=30
x = 24, y = 6
So, the bigger number is 24.
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