Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.
4 years ago, the son was:
s-4
So, his father is currently:
3(s-4)
=
3s-12
Therefore:
f = 3s-12
In twelve years, the son will be:
s+12
And the father will be:
f+12
This can also be written as:
3s-12+12 as the fathers younger age would be f = 3s+12
=
3s
So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36
Son’s current age: 36
We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.
2(24)+24 = 72
Father’s current age: 72
Subtract 6.7 from 20. This is 13.3. Divide 13.3/5 is 2.66. That is the answer
Since each ton equals 2000 pounds you add 2000+2000+500 (because of the half) and it equals 4,500 pounds
Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:
Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:
Now, take the square root of both sides:
Use a calculator:
So, the side length is approximately 10.2 inches.
