Register
Register

Q. 54.5( 15 Votes )

# The sum of three

Answer :

Let the numbers be (a – d), a, (a+ d)

A – d + a + a+ d = 12

3a = 12

a = 4

According to question,

(a – d)3 + a3 + (a + d)3 = 288

a3 – d3 – 3ad (a – d) + a3 + a3 + d3 + 3ad (a + d) = 288

3a3 – 3a2d + 3ad2 + 3a2d + 3ad2 = 288

3(4)3 + 6(4) d2 = 288

24d2 = 96

d2 = 4

d = �4

Therefore, when a = 4 and d = 2

a – d = 4 – 2 = 2

a + d = 4 + 2 = 6

When a = 4 and d = -2

a – d = 4 + 2 = 6

a + d = 4 – 2 = 2

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Arithmetic Progression and 'nth' Term of AP55 mins  Imp Qs Practice For Boards (AP)59 mins  Sum of n Terms of AP56 mins  Introduction of Geometric Progression60 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 