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WINSTONCH [101]
3 years ago
5

The average mother's, father's, and son's age is 28 years. The average mother's and son's age is 23 years. The average father's

and son's age is 25 years. What is the son's age?
Mathematics
1 answer:
Grace [21]3 years ago
3 0

Answer:  son is 12 years old

Step-by-step explanation:

Let m be the age of mother, f be the age of father, and s be the age of son.

m + f + s = 28 x 3 = 84

m + son = 23 x 2 = 46

f + s = 25 x 2 = 50

m = 46 - s

f = 50 - s

we plug in m and f to the functions.

we get 46 - s + 50 - s + s = 84  

96 - s = 84  

-s = -12  

s = 12 years old

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Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

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