Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If A.M. of two positive number a and b is 5 and their G.M. is 3, then numbers a and b areOption: 1 2,8<str

If A.M. of two positive number a and b is 5 and their G.M. is 3, then numbers a and b are

Option: 1

2,8


Option: 2

3,7


Option: 3

1,9


Option: 4

1,10


Answers (1)

best_answer

A.M. = 5

\\\frac{a+b}{2}= 5\\ \Rightarrow a+b=10.....(i)

G.M. = 3

\\\sqrt{ab}= 3\\ \Rightarrow ab=9.....(ii)

Now 

\\(a-b)^2 = (a+b)^2 - 4ab = 100 - 36 = 64\\ \Rightarrow (a-b)=\pm 8......(iii)

From (i) and (iii)

(a = 9, b = 1) or (a = 1, b = 9)

Posted by

avinash.dongre

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

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question