Question

find three number of ap whose sum is 24 and sum of square is 210​

Answer 1

Answer:

let the 3 numbers be

a−d,a,a+d

Sum =24

if 3a=24

a=8

∴ the numbers are

(8−d),8,(8+d)

Sum of squares a=210

(8-d)² + 8² + (8+d)² = 210

3(8)² + 2d² = 210

2d² = 210 - 192

d² = 18/2

d = √9

d = ± 3

if d = + 3 the no. are = 8+3, 8 - 3 ,8

5 , 08 , 11