Question:
If the ratio of AM and GM of two positive numbers a and b is 5 : 3, then a : b is equal to
If the ratio of AM and GM of two positive numbers a and b is 5 : 3, then a : b is equal to
Options:
- 5 : 3
- 9 : 1
- 2 : 9
- 3 : 5
- 5 : 3
- 9 : 1
- 2 : 9
- 3 : 5
Correct Answer: b)
Explanation:
‘ Let a and b be two numbers. According to the question, ‘
2
Vas 3
‘ -A:G=5:3,A=% G = ab ‘
4b _ 10 _ (a+b) _ (102
=a =h= 0 =(3)
a+b’ +2ab _ 100
Ta == 1
_ 100
‘ =4+ot2=3¢
Str +2=10-4a_y
2
1 = £riize _ EL f
‘ = 92821490 ‘
! = (t-9Ot-1)=0⇒1=9, § ‘
og=√ers=dloi=g
‘ =a:b=9:1orl:9
‘ Let a and b be two numbers. According to the question, ‘
2
Vas 3
‘ -A:G=5:3,A=% G = ab ‘
4b _ 10 _ (a+b) _ (102
=a =h= 0 =(3)
a+b’ +2ab _ 100
Ta == 1
_ 100
‘ =4+ot2=3¢
Str +2=10-4a_y
2
1 = £riize _ EL f
‘ = 92821490 ‘
! = (t-9Ot-1)=0⇒1=9, § ‘
og=√ers=dloi=g
‘ =a:b=9:1orl:9