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Popular Word Problems >

A man is 22 years older than his son. In 8 years, the sum of their ages will be 102. How old is the father now

Solution

A man i s 22 ye a rs o l d er t han hi s so n . I n 8 ye a rs, t h e s u m o f t h e i r a g es w i ll b e 102. Ho w o l d i s t h e f a t h er n o w

Solution

Man^{'} s age is : 54

Boy^{'} s age is : 32

Solution steps

Translate the problem into an equation:

x + 8 + x - 22 + 8 = 102

Solve for

x, x + 8 + x - 22 + 8 = 102 : x = 54

Find age

Man^{'} s age is : 54

Boy^{'} s age is : 32

Popular Examples

A mother is currently 10 times older than her son. In 4 years time, she will be 7 times older than her son. Use substitution to find answer.21.Pamela is 14 years younger than Jiri. The sum of their ages is 30. What is Jiri's age?Nabria’s age is 8 years less than 5 times her brother’s age. Nabria’s age is 10 minus her brother’s age. How old is Nabria?Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.How old is Daniel now?A man is four times as old as his son. Six years ago the man was ten times as old as his son.