Question

If the sum and the square of the two consecutive number is 625 then find the number

Answer 1

Answer:

Step-by-step explanation:

let the consecutive number be x and x+1

according to question

x² +(x+1)² = 625

x² + x² +1 + 2x = 625

2x² +2x = 624

x² +x = 312

x² + 17x - 16x -312 = 0

x(x+17) -16 (x+17)=0

(x-16)(x+17) = 0

x = 16 ,17

∴ the numbers are 16  , 17