Question

the Sum of 3 numbers in ap is 48 and the sum of there square is 800 find those numbers​

Answer 1

Step-by-step explanation:

It is always helpful to take the three number in AP as a-d, a and a+d.

So, sum of numbers= 45 or

a-d+a+a+d=45 or 3a=45

Therefore a=15.

Now lets square and add each number.

We have

(a-d)^2 + a^2 + (a+d)^2 = 683 (Given)

Simplifying,we get

3a^2 + 2d^2=683

Substitute a=15 which we found above and simplifying , we get

2d^2=8

and hence d=2.

Now you can easily find the three numbers,

They are a-d, a and a+d

Or 13,15 and 17.

The largest sumber is 17.

Thats your answer! Hope this helps.

pls folløw ❤️