![salvadorperez26](/avatars/23364.jpg)
salvadorperez26
10.03.2020 •
Mathematics
When I am as old as my father is now, I will be five times as old as my son is now. By then my son will be eight years older than I am now. The combined ages of my father and me are 100 years. How old is my son?
Solved
Show answers
More tips
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
Answers on questions: Mathematics
- M Mathematics 2. The sum of two numbers is 30. Determine the two numbers if their product is a maximum....
- M Mathematics You are enclosing a rectangular portion of your lawn with a limited amount of fencing. you want to maximize the amount of area enclosed by this amount of fencing. find the ratio...
- M Mathematics 60 km by 25% 100 by 17% 45 by 56% $5400 by 4.5%...
- E English Indicate whether the Action verb is transitive or intransitive The pigeon (drank) water from the dirty puddle....
- M Mathematics Cual es el la diferencia entre el 201 y el menor 144...
Ответ:
h = 13
Step-by-step explanation:
Let call
i my age
p my father age
h my son age
Then d = p - i is the difference in age between my father and me
From problem statement "When I am as old as my father is now, I will be five times as old as my son is now"
i + d = 5*h = p (1)
And from "By then my son will be eight years older than I am now"
h + d = i + 8 (2)
Finally
i + p = 100 (3)
Solving these equations
From equation (1) d = 5*h - i
Plugging that value in equation (2)
h + ( 5*h - i ) = i + 8 ⇒ h + 5*h - i = i + 8 ⇒ 6*h - 2*i = 8
As 5*h = p
And i + p = 100
i + 5*h = 100 i = 100 - 5*h
6*h - 2*i = 8 i = ( 6*h - 8 )/2
100 - 5*h = ( 6*h - 8 ) /2
200 - 10*h = 6*h - 8
208 = 16*h
h = 208/16
h= 13 years old
Ответ:
1) The graph is opening upwards
2) Axis of symmetry is x=-2
3) Vertex: (-2, 1) minimum y=1
4) y intercept is (0, 9)
5) domain: x|x ∈ R (All real numbers)
6) Range y|y ≥ 1