Question

3 years ago, Nancy’s age was more than Khaled’s age by 2, 4 years from now, twice Nancy’s age will be more than Khaled’s age by 16. Find their ages.

Answer 1

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