If the numbers a, 9, b, 25 form an AP, find a and b.

Question

Philoid · Accepted Answer

Since, the terms are in an AP, therefore

9 - a = b - 9 = 25 - b

Consider b - 9 = 25 - b

⇒ 2b = 34

⇒ b = 17

Now, consider the first equality,

9 - a = b - 9

⇒ a = 18 - b

⇒ a = 18 - 17

⇒ a = 1

∴ a = 1, b = 17