Question

find the number.please give answer

Answer 1

Answer:

Step-by-step explanation:

let the three consecutive numbers be x and x+1 and x+2

given that

(x+1)(x+1)-[(x+2)(x+2)-x²]=60

[x²+1+2x]-[x²+4+4x-x²]=60

x²+1+2x-4-4x=60

x²-2x-63=0

x²-9x+7x-63=0

x(x-9)+7(x-9)=0

(x-9)(x+7)=0

x=9

x+1=10

x+2=11

Hope this helps you.