Let a,b,c,d are real numbers such that |a−b|=2,|b−c|=3,|c−a|=4 . Then the sum of all possible values of |a−d| is
A
9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
18
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
24
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
30
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C18 |a−b|=2,|b−c|=3,|c−d|=4 a−b=±2 b−c=±3 c−d=±4 possible values of (a−d) are ±9,±5,±3 |a−d|=9,5,3,1 Sum of all possible values are 18