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Popular Word Problems >

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 linear equations

Solution

G eor g e i s tw i ce a s o l d a s T ama r a . I n f i v e ye a rs, G eor g e w i ll b e 1.5 t im es a s o l d a s T ama r a . W r i t e u s in g a sys t e m o f l in e a r e q u a t i o n s

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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