Answer:
Nancy's age is 11years and Khaled's age is 10years
Explanation:
Let Nancy's present age be x
Let Khaled's present age b y
3 years ago
Nancy = x - 3
Khaled = y - 3
If 3 years ago, Nancy’s age was more than Khaled’s age by 2, then;
x-3 = y-3 + 2
x - 3 = y - 1
x- y = -1+3
x - y = 2 ...1
4 years from now,
Nancy = x+4
Khaled = y+4
If by 4years from now, twice Nancy’s age will be more than Khaled’s age by 16, then;
2(x+4) = y+4 + 16
2x+8 = y+20
2x-y = 20-8
2x-y = 12 ....2
Subtract 1 from 2;
x - 2x = 1 - 12
-x = -11
x = 11
Since x - y = 1
11 - y = 1
y = 11-1
y = 10
Hence Nancy's age is 11years and Khaled's age is 10years