Two numbers A and B are such that A > B and their G.M. is $40 %$ lower than their A.M. Find the ratio between the numbers.

4 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 9 : 1
Trial and error gives us that for option (b): With the ratio 9:1, the numbers can he taken as 9x and 1x. Their AM would be 5x and their GM would be 3x. The GM can be seen to be $40 %$ lower than the AM. Option (b) is thus the correct answer.

Suggest Corrections

Similar questions

Two particles A & B are projected with same speed so that the ratio of their maximum height reached is 3:1. If the speed of A is doubled without altering other parameters, the ratio of their horizontal ranges is

Q. If the A.M of two positive number a and b (a >b) is twice their G.M, then a : b is:

Q. The A.M. of two numbers exceed their G.M. by

3 / 2

and the G.M. exceed their H.M. by

6 / 5

, find the sum of the two numbers ?

Q. If the

A . M .

between two numbers exceeds their

G . M .

2

and the

G . M .

exceeds their

H . M .

8 / 5

, find the smaller of the two numbers.

Q. If A.M and H.M between two positive numbers are

27

and

12

respectively, find their G.M.

Join BYJU'S Learning Program

Two numbers A and B are such that A > B and their G.M. is 40% lower than their A.M. Find the ratio between the numbers.

The correct option is B 9 : 1Trial and error gives us that for option (b): With the ratio 9:1, the numbers can he taken as 9x and 1x. Their AM would be 5x and their GM would be 3x. The GM can be seen to be 40% lower than the AM. Option (b) is thus the correct answer.

Two numbers A and B are such that A > B and their G.M. is $40 %$ lower than their A.M. Find the ratio between the numbers.

The correct option is B 9 : 1
Trial and error gives us that for option (b): With the ratio 9:1, the numbers can he taken as 9x and 1x. Their AM would be 5x and their GM would be 3x. The GM can be seen to be $40 %$ lower than the AM. Option (b) is thus the correct answer.