Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

If HM : GM = 4 : 5 for two positive numbers, then the ratio of the numbers is

Option: 1

4:1


Option: 2

3:2


Option: 3

3:4


Option: 4

3:8


Answers (1)

best_answer

Let the numbers be a and b

 \\\frac{H}{G} = \frac{4}{5} \\ \Rightarrow \frac{2ab}{(a+b)\sqrt{ab}} = \frac{4}{5}

\Rightarrow \frac{2\sqrt{ab}}{(a+b)}=\frac{4}{5}

\Rightarrow 5\sqrt{ab}= 2a + 2b

\Rightarrow 2a - 5\sqrt{ab} + 2b = 0

\\Dividing\,\,by\,\,b,\\ \\2(a/b) - 5\sqrt{a/b} + 2 = 0

Let \sqrt{a/b} = t

2t2 - 5t + 2 = 0

t = 2, 1/2

So t = 2, a:b = 4 : 1,

For t = 1/2, a:b = 1 : 4

 

Posted by

Pankaj

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: NIT Rourkela cut-offs for CSE, chemical engineering drop; last years' closing ranks
anam-khan

JEE Main 2025 Live: NTA exam city slip at jeemain.nta.nic.in soon; session 1 schedule
anam-khan

JEE Main 2025 schedule out for session 1; paper 1 from January 22

Latest Question