Q.10) lind four pumbers in AlP whose sum is 28 and the sum of, whose H

1.	Q.10) lind four pumbers in AlP whose sum is 28 and the sum of, whose Hquares is 216
Answer» Let the four numbers be (a-3d), (a-d), (a+d) & (a+3d).Now According to questionTheir sum : (a-3d)+(a-d)+(a+d)+(a+3d)=28 4a = 28a=7.Sum of thier sqaure is (a-3d)²+(a-d)²+(a+d)²+(a+3d)²=2164a²+20d²=216a² + 5d² = 54 Putting the value of a 49 + 5d² = 545d² = 5d² = 1d=±1. Hence, the numbers are 4, 6, 8 & 10.

Q.10) lind four pumbers in AlP whose sum is 28 and the sum of, whose Hquares is 216

Answer»

Let the four numbers be (a-3d), (a-d), (a+d) & (a+3d).Now According to questionTheir sum :

(a-3d)+(a-d)+(a+d)+(a+3d)=28 4a = 28a=7.Sum of thier sqaure is

(a-3d)²+(a-d)²+(a+d)²+(a+3d)²=2164a²+20d²=216a² + 5d² = 54 Putting the value of a 49 + 5d² = 545d² = 5d² = 1d=±1.

Hence, the numbers are 4, 6, 8 & 10.