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Jane is x years old. Dan is twice as old as Jane. Pete is 4 years older than Dan. The sum of their ages is 89. How old are each of them?

Solution

Jane is x years old. Dan is twice as old as Jane. Pete is 4 years older than Dan. The sum of their ages is 89. How old are each of them?

Solution

Dan^{'} s age is : 34

Pete^{'} s age is : 38

Jane^{'} s age is : 17

Solution steps

Translate the problem into an equation:

\frac{y}{2} + y + y + 4 = 89

Solve for

y, \frac{y}{2} + y + y + 4 = 89 : y = 34

Find age

Dan^{'} s age is : 34

Pete^{'} s age is : 38

Jane^{'} s age is : 17

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