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Solve each problem by using a system of three equations inthree unknowns.

Three generations. Edwin, his father, and his grandfather have an average age of 53 dollars. One-half of his grandfather's age, plus one-third of his father's age, plus one-fourth of Edwin's age is 65 dollars . If 4 years ago, Edwin's grandfather was four times as old as Edwin, then how old are they all now?

Edwin $24,$ father $51,$ grandfather 84

Algebra

Algebra 2

Chapter 4

Systems of Linear Equations

Section 3

Systems of Linear Equations in Three Variables

Polynomials

Systems of Equations and Inequalities

Introduction to Algebra

Graph Linear Functions

Write Linear Equations

Linear Equations and Functions

Matrices and Determinants

Johns Hopkins University

Michigan State University

University of Michigan - Ann Arbor

Lectures

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Where is this question? Where? After out ages, We're told that, um the age Edwin, his father, his grandfather, the average age between them. So this total provided by 3 53 We're also pulled that half the age of Edwin. Sorry. His grandfather plus 1/3 of the age is all there. Plus quarter of the age of Edwin 65. Finally, we're told that four years ago yeah, and father was four times older. Edmund Moores. Here are three equations I'm like, get rid of this three and multiply three times to me get 1 59 So you here to solve? Um and I multiply this creation outside G equals or close for he climbed 16 which is just for you. This 12. Now we have equation Fergie. Um, in terms of E now it's fund F in terms of you U minus G. You know G is 40 miles 12 minus 12. Does that mean minus 40 plus 12? The whole 9 12 1 71 five. Now we compartment into the second equation. Actually solved. E went five times for E minus two plus 1/3 1 71 minus five plus 0.25 eat people. 65. It's going to be six plus 1 71 About about three. Minus five e plus 50.25 years was 60 6 71 wrapped. We have to e months. 5/3 e Um, we know two years, 6/3. So it's just gonna be a 1/3 e and we have 1/3 plus 1/4 He And if we move this 1 71 of three over, we have 71 minus 1 71/3 unequal 14 so that we have 1/3 plus 1/4. That's gonna be 7 12 14 charms. 12/7. It's gonna equal 24. Edwin's 24 years old. We can plug in itself for G four times 24. 12 gonna be 84 grandfathers, 84 years old. Rather, the father is 1 71 months, five times 24. It's gonna be 51 result. So there we have our answer. Bread with 24 stacks, 50 corn. This graph

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