Question

the sum of three number in AP is 27 and sum of their square is 293 . Find them .

Answer 1

Heya !!

$-$ Let ' a ' be the middle number and d be the common diffrence ; then the numbers are → a - d , a , a + d


Hence , → a - d + a + a + d = 27

3a = 27

Value of ' a ' = 9

Three numbers are = 9 - d , 9 , 9+d .

→ (9 - d )^2 + 81 + ( 9+ d )^2 = 293


Solving the above , its a quadratic equation value of ' d ' will come :

=> d = ± 5



Numbers are. = 4 , 9 , 14 $\bold{Ans}$

Answer 2

Let ' a ' be the middle number and d be the common diffrence ; then the numbers are , a - d , a , a + d

Hence , a - d + a + a + d = 27

3a = 27

Value of ' a ' = 9

Three numbers are = 9 - d , 9 , 9+d .

(9 - d )^2 + 81 + ( 9+ d )^2 = 293

Please mark it as brainliest answer....