Present and Future Ages 3

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


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

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

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