# Which number shou

Let x be the number that should be subtracted from 12, 16, 21 so that the numbers remain in continued proportion.

Numbers a, b, c are said to be continued proportion if b2 = ac.

From the definition of continued proportion, we get:

(16 - x)2 = (12 - x)(21 - x)

256 + x2 – 32x = 252 - 33x + x2

-32x + 33x = 252 – 256

x= -4

-4 should be subtracted from 12, 16, 21 so that the numbers remain in continued proportion.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Sphere and Hemisphere42 mins
Introduction to Lines and Angles60 mins
Speed and Velocity42 mins
Surface Area and Volume of solids Revision43 mins
Arc of Circle And Related IMP Qs40 mins
IMP Theorems And Their Application43 mins
Circles- All kinds of Questions36 mins
Trigonometric Identities - Marathon Part 146 mins
Test what you Know Quiz44 mins
Heron's Formula- Full Gyan46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Check whether theMHB - Math Part-I

Convert the folloMHB - Math Part-I

a, b ,c are in coMHB - Math Part-I

If <span lang="ENMHB - Math Part-I

Write the ratio oMHB - Math Part-I

Solve the followiMHB - Math Part-I

Solve.

MHB - Math Part-I

If <span lang="ENMHB - Math Part-I

If <span lang="ENMHB - Math Part-I

Solve:

MHB - Math Part-I