If thearithmetic mean of two numbers is
3 times their geometric means. Then
find the ratio of those numbers.
Answers
Answered by
0
Answer:
Let the numbers be a and b.
Given
2
a+b
=3
ab
⇒
b
a
+
a
b
=6
⇒t+
t
1
=6 (where t=
b
a
)
⇒t
2
−6t+1=0
⇒t=
2
6±
6
2
−4
⇒t=3±2
2
⇒
b
a
=17±12
2
⇒(i)
b
a
=17+12
2
∴ option C is correct.
or (ii)
b
a
=17−12
2
⇒
a
b
=
17−12
2
1
=
(3−2
2
)
2
1
∴ option D is correct.
Similar questions