Question

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

Answer 1

It is given that the numbers a,9,b,25from an AP.

∴ 9- a = b-9 = 25-b

So,

b-9=25-b

⇒ 2b = 34 

⇒ b = 17 

Also,

9 - a = b - 9

⇒ a= 18 -b

⇒ a = 18 - 17             (b=17)

⇒ a =1

Hence, the required values of a and b are 1 and 17, respectively.