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George is twice as old as Tamara. In five years, George will be 1.5 times as old as Tamara. Write using a system of two linear equations

Solution

George is twice as old as Tamara. In five years, George will be 1.5 times as old as Tamara. Write using a system of two linear equations

Solution

Tamara^{'} s age is : 5

George^{'} s age is : 10

Solution steps

Translate the problem into an equation:

2 x + 5 = 1.5 (x + 5)

Solve for

x, 2 x + 5 = 1.5 (x + 5) : x = 5

Find age

Tamara^{'} s age is : 5

George^{'} s age is : 10

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