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Read what Sasha says. I am y years old. My mother's age is 3 times my age. My brother is 2 years younger than me. My father's age is 4 times my brother's age. The total of our four ages is 116 years.
a) Write an equation to show this.
b) Solve the equation.
c) How old is Sasha's father?​

Respuesta :

Answer:

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Ver imagen Dalewillow

Answer:

a)     y + 3y + (y - 2) + 4(y - 2) = 116

b)     y = 14

c)     48

Step-by-step explanation:

Sasha says. I am y years old.       y

mother's age is 3 times my age     3y

brother is 2 years younger than me      y - 2

father's age is 4 times my brother's age     4(y - 2)

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total of our four ages is 116 years.

a) Write an equation to show this.

y + 3y + (y - 2) + 4(y - 2) = 116

b) Solve the equation.

distribute

y + 3y + y - 2 + 4y - 8 = 116

combine like terms

9y - 10 = 116

add 10 to both sides

9y = 126

Divide both sides by 9

y = 14

c) How old is Sasha's father?​

4(y - 2)

4(14 - 2)

4(12)

48