CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
16
You visited us 16 times! Enjoying our articles? Unlock Full Access!
Question

The absolute difference of the two positive numbers whose arithmetic mean is 34 and the geometric mean is 16, is

A
60
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
64
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
56
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
68
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 60
Let a and b be two positive numbers.
Given, a+b2=34, ab=16

Now, a+b=68, ab=256
(ab)2=(a+b)24ab(ab)2=6824×256(ab)2=16(17282)(ab)2=16×25×9|ab|=4×5×3|ab|=60

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon