Alfie is 5 years old. His mother is 28. How old will Alfie be when he is exactly half as old as his mother?

Let *x* be the number of years until Alfie is half as old as his mom; then

5 +

10 + 2

*x*= ½(28 +*x*), or 2(5 +*x*) = 28 +*x*10 + 2

*x*= 28 +*x**x*= 28 – 10 = 18.In 18 more years Alfie will be half the age of his mother. Alfie will be 5 + 18 or 23. His mom will be 28 + 18 = 46.