Mathematics

If 18, a and (b - 3) are in A.P., then find the value of (2a - b).

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Answer

Given,

18, a, (b - 3) are in A.P.

In an A.P., consecutive differences are equal.

⇒ a - 18 = (b - 3) - a

⇒ a - 18 = b - 3 - a

⇒ a + a - 18 + 3 = b

⇒ 2a - 15 = b

⇒ 2a - b = 15

Hence, the value of 2a - b = 15.

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