The sum of squares of three consecutive numbers is 77 find the numbers

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  

Sum = 77

∴by the problem ,

{Taking 3 common }

{By factorization}

Therfore,

X can't be negetive

∴

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6