Question

The sum of four consecutive numbers350.what will be the sum of squares of the largest number and samllest number

Answer 1

Let the numbers be x x+1 x+2  x+3 and  x+4

Thus x + x+1 + X+2 + x+3 + x+4 = 350

5x-10 = 350

5x = 340

x = 68

The smallest number will be = 68

The largest will be largest = 68 + 4 = 72

Square of largest number = 72*72 =  5184

Square of smallest number = 68 * 68 = 4624

Sum of largest number and half of square of smallest is = 5184 + 4624 = 9808