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Popular Word Problems >

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

Solution

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

Solution

Michael^{'} 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

Michael^{'} s age is : 20

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