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Emily is 2 years older than her sister Shelly. Eight years ago she was twice as old as Shelly. What are their present ages?

Solution

Emily is 2 years older than her sister Shelly. Eight years ago she was twice as old as Shelly. What are their present ages?

Solution

Emily^{'} s age is : 12

Shelly^{'} s age is : 10

Solution steps

Translate the problem into an equation:

x - 8 = 2 (x - 2 - 8)

Solve for

x, x - 8 = 2 (x - 2 - 8) : x = 12

Find age

Emily^{'} s age is : 12

Shelly^{'} s age is : 10

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