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Popular Word Problems >

Tim's age is half of Joe's age. Emma is four years older than Joe. The sum of Tim, Emma, and Joe's age is 54. How old is Joe?

Solution

T i m^{'} s a g e i s ha l f o f J o e^{'} s a g e . E mma i s f o u r ye a rs o l d er t han J oe . T h e s u m o f T im, E mma, an d J o e^{'} s a g e i s 54. Ho w o l d i s J oe ?

Solution

Joe^{'} s age is : 20

Solution steps

Translate the problem into an equation:

\frac{1}{2} x + x + 4 + x = 54

Solve for

x, \frac{1}{2} x + x + 4 + x = 54 : x = 20

Joe^{'} s age is : 20

Popular Examples

Andy is now 25 years older than his brother, Bob. In 15 years Andys age will be twice Bobs age then. How old are Andy and Bob now?Michael is 4 times as old as Brandon and is also 27 years older than Brandon. How old is Michael?Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus. How old is Tanya now?Sarah is 12 years old. Sarah is 3 times as old as George. How old is George?George is twice as old as Jack. Jack is twice as old as Alex. The sum of their ages is 147