Answer:
11 and 12
Step-by-step explanation:
x(x+1)=132
x^2+x=132
x^2+x-132=0
(x-11)(x+12)=0
x = 11 or x = -12
when x=11 ,
x+1=12
11*12=132
Let lucy = l & neighbour= n
l = n +4
l + n= 14 years
substitute l with n +4
(n +4) + n = 14
2n +4 =14
n=5 years
l = n + 4 lets substitute n with 5
l = 5 + 4
lucy = 9 years