if the sum of four numbers in A.P is24 and sum of thier squares is 164.then those numbers are
if the sum of four numbers in A.P is24 and sum of thier squares is 164.then those numbers are
Simran Bhatia , 12 Years ago
Grade 11
9 grade maths> progressions...
2 AnswersKaushik
Last Activity: 12 Years ago
they are 3,5,7,9
srinivas aytha
Last Activity: 12 Years ago
let the four no be a-3d,a-d,a+d,a+3d.
a-3d+a-d+a+d+a+3d=24 (given)
4a=24
a=6.
(a-3d)2+(a-d)2+(a+d)2+(a+3d)2=164 (given)
2(a2+9d2)+2(a2+d2)=164. since (a+b)2+(a-b)2=2(a2+b2)
2(2a2+10d2)=164.
2a2+10d2=164/2=82.
2(6)2+10d2=82.
10d2=10.
d=±1.
therefore four numbers are 3,5,7,9
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on 9 grade maths
What are the differences between similar triangles and congruent triangles?
What are the differences between similar triangles and congruent triangles?
9 grade maths
1 Answer Available
Last Activity: 4 Months ago
All real numbers are rational numbers.
A) True
B) False
All real numbers are rational numbers.
A) True
B) False
9 grade maths
1 Answer Available
Last Activity: 4 Months ago
The L.C.M of the smallest 2 digit composite number and the smallest composite number is:
- (a) 12
- (b) 4
- (c) 20
- (d) 44
The L.C.M of the smallest 2 digit composite number and the smallest composite number is:
- (a) 12
- (b) 4
- (c) 20
- (d) 44
9 grade maths
1 Answer Available
Last Activity: 4 Months ago
Are all natural numbers also whole numbers?
Are all natural numbers also whole numbers?
9 grade maths
1 Answer Available
Last Activity: 4 Months ago