Question

find an two consecutive even numbers whose sum is 120

Answer 1

Answer:

Let two even consecutive number be x and x+2

x(x+2)=120

x^2+2x=120

x^2+2x-120=0

x^2+(12-10)x-120=0

x^2+12x-10x-120=0

x(x+12)-10(x+12)=0

(x+12)(x-10)

x=-12 or x=10

Always take positive number ,x=10

x+2=10+2=12

Therefore,10*12=120