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Family/Age/Linear system/Exercise

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and are the members of one family. In this case, is three times as old as and together, is older than , and is older than , moreover, the age difference between and is twice as large as the difference between and . Furthermore, is seven times as old as , and the sum of the ages of all family members is equal to the paternal grandmother's age, which is .


a) Set up a linear system of equations that expresses the conditions described.


b) Solve this system of equations.