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Let a,b,c,d be real numbers such that |a...

Let a,b,c,d be real numbers such that |a-b|=2, |b-c|=3, |c-d|=4 Then the sum of all possible values of |a-d|=

A

`9`

B

`18`

C

`24`

D

`30`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` `|a-b|=2impliesa-b=+2`
`|b-c|=3impliesb-c=+-3`
`|c-d|=4impliesc-d=+-4`
Possible values of `a-d` are `+-9`, `+-5`, `+-3`, `+-1`
`:. |a-d|=9,5,3,1`
Sum `=18`
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