Question

Sum of 4 numbers is an Ap is 86 and sum of their squares is 1894.Find the numbers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

17 , 20 , 23 , 26

Step-by-step explanation:

Let say 4 number are

a - 3d , a - d , a+ d , a + 3d

then Sum

=> a - 3d + a - d + a + d + a + 2d = 86

=> 4a = 86

=> a = 43/2

=> a = 21.5

Sum of Squares = 1894

(a - 3d)² + (a - d)² + (a + d)² + (a + 3d)² = 1894

=> a² + 9d² - 6d + a² + d² - 2d + a² + d² + 2d + a² + 9d² + 6d = 1894

=> 4a²  + 20d² = 1894

=> a² + 5d² = 473.5

=> (21.5)²  + 5d² = 473.5

=> 5d² = 11.25

=> d² = 2.25

=> d = 1.5

So numbers are

21.5 - 3*1.5  , 21.5 - 1.5  , 21.5 + 1.5 , 21.5 + 3*1.5

=> 17 , 20 , 23 , 26