Question:
Very-Short and Short-Answer Questions
If the numbers a, 9, b, 25 form an AP, find a and b.
Solution:
It is given that the numbers a, 9, b, 25 form an AP.
$\therefore 9-a=b-9=25-b$
So,
$b-9=25-b$
$\Rightarrow 2 b=34$
$\Rightarrow b=17$
Also,
$9-a=b-9$
$\Rightarrow a=18-b$
$\Rightarrow a=18-17 \quad(b=17)$
$\Rightarrow a=1$
Hence, the required values of a and b are 1 and 17, respectively.