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13.) a man left legacies to his three sons and to a hospital, amounting in all to $1320. if he had left the hospital legacy to his first son, that son would have received as much as the other two sons together. if he had left it to his second son, he would have received twice as much as the other two sons together. if he had left the hospital legacy to his third son, he would have received then thrice as much as the first son and second son together. find the amount of each legacy.



Answer :

tutorconsortium270

The amount of each legacy is 55 , 275 , 385 , 605.

What is linear equation ?

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.

Calculation

equations:

a + b + c + h = 1320

a+h = b+c

b+h = 2(a+c)

c+h = 3(a+b)

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Rearrange:

a + b + c + h = 1320

a - b - c + h = 0

2a- b +2c - h = 0

3a+3b -c - h = 0

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I used my TI-84 to get:

a = 55

b = 275

c = 385

h = 605

learn more about linear equations here :
brainly.com/question/11897796

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