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If 18, A, (B - 3) Are in Ap, Then Find the Value of (2a – B)

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Question

If 18, a, (b - 3) are in AP, then find the value of (2a – b)

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Solution

It is given that 18, a,(b-3) are in AP.

∴ a-18 = (b-3) -a

⇒ a+a-b = 18-3

⇒ 2a -b = 15

Hence, the required value is 15.

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Chapter 5: Arithmetic Progression - Exercises 3

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
Exercises 3 | Q 3

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