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Question

Find the value of x for which (8x + 4), (6x - 2) and (2x + 7) are in A.P.

A

15
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B

7.5
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C

21
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D

43
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Solution

The correct option is B
7.5
If a,b,c are in A.P

b=(a+c)/2

According to question 8x+4,6x-2,2x+7 are in A.P

6x-2=(8x+4+2x+7)/2

6x-2=10x+11/2

2(6x-2)=10x+11

12x-4=10x+11

12x-10x=11+4

2x=15

x=15/2=7.5

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