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7. Esther, her mother and her grandmother have an average age of 53. Half of her grandmother's age, plus one third of her mother's age, plus one fourth of Esther's age is 65. Four years ago, Esther's grandmother was four times as old as Esther. Write down the system of three linear equations and use Cramer's rule to find how old are they all now.

7. Esther, her mother and her grandmother have an average age of 53. Half of her grandmother's age, plus one third of her mother's age, plus one fourth of Esther's age is 65. Four years ago, Esther's grandmother was four times as old as Esther. Write down the system of three linear equations and use Cramer's rule to find how old are they all now.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. Esther, her mother and her grandmother have an average age of 53. Half of her grandmother's age, plus one third of her mother's age, plus one fourth of Esther's age is 65. Four years ago, Esther's grandmother was four times as old as Esther. Write down the system of three linear equations and use Cramer's rule to find how old are they all now.
Transcribed Image Text:7. Esther, her mother and her grandmother have an average age of 53. Half of her grandmother's age, plus one third of her mother's age, plus one fourth of Esther's age is 65. Four years ago, Esther's grandmother was four times as old as Esther. Write down the system of three linear equations and use Cramer's rule to find how old are they all now.
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