Red Bull and Buffalo Wild Wings
Answer:
x = 10
Step-by-step explanation:
Given:
Arc LM = 13x - 10
Arc MN = 7x - 10
Required:
Solve for x
Solution:
Recall: half a circle = 180°
Therefore,
Arc LM + Arc MN = 180°
13x - 10 + 7x - 10 = 180
Add like terms
20x - 20 = 180
20x - 20 + 20 = 180 + 20
20x = 200
20x/20 = 200/20
x = 10
Answer:
Present age
Son: 15
Father: 45
Step-by-step explanation:
Remark
Thank you for the translation. Without it, the problem would be impossible -- at least for me.
Givens
Let the present age of the father = x
Let the present age of the son = y
Solution
x + y = 60
How many years will pass? You could say it's z.
x + z = y When z years pass, the son will be his father's present age.
x + z + y + z = 120 when z is added to both their current ages, the result is 120 Collect like terms
x + y + 2z = 120
<u>x + y = 60 </u> Subtract The very first equation
2z = 60 Divide by 2
z = 60/2 30 years have passed.
z = 30
x + z = y
x + 30 = y Substitute x + 30 for the present y value (the father).
x + x + 30 = 60
2x = 30
x = 15
x + y = 60
15 + y = 60
y = 60 - 15
y = 45
So the son's age right now is 15
The father's age right now is 45
