Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

Divide 40 into 4 parts which are in A.P. such that the ratio of product of extremes to the product of means is 2:3?
Asked by Udit Lilhare | 04 Jan, 2014, 03:01: PM
Expert Answer
Let the four parts be a-3d, a-d, a+d, a+3d.
Then, 
a-3d+ a-d+ a+d+ a+3d = 40
4a=40
a = 10
 
Thus, the four parts are 10-3d, 10-d, 10+d, 10+3d.
 
Now, it is also given that:
ratio of product of extremes to the product of means is 2:3
 
Thus, 
(10-3d)(10+3d)/(10-d)(10+d) = 2/3
100-9d2/100-d2 = 2/3
300-27d2 = 200-2d2
25d2 = 100
d= 4
d = 2 or -2
 
Thus, the four parts (which are in AP) are 
4, 8, 12, 16
or
16, 12, 8, 4
Answered by | 05 Jan, 2014, 06:43: PM
CBSE 10 - Maths
Asked by jaiprakashprasadr | 19 Jul, 2022, 09:22: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by samiranroychowdhury942 | 19 Jul, 2022, 08:37: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by jaiprakashprasadr | 17 Jul, 2022, 11:03: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by harinimathi815 | 21 Feb, 2022, 08:14: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by madhushreemahesh1986 | 10 Feb, 2022, 05:19: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Keerthanaambika48 | 13 Jul, 2021, 09:44: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ya4656224 | 06 Jul, 2021, 12:41: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by madhutowari | 28 Jun, 2021, 07:56: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mohammeduzaib786 | 27 May, 2021, 04:00: PM
ANSWERED BY EXPERT

Start your hassle free Education Franchisee and grow your business!

Know more
×