a father is four times as old as his son . after five years ,he will be three times as old as his son then . what are their present ages. with statement
Answers
The father is 40 yrs old
The son is 10 yrs old
4 times his son's age.
5yrs in the future the father is 45 yrs old, and the son is 15 yrs old.
3 times the son's age.
We want to know the age. The age is an undetermined number that we will call “x" until we know otherwise. Thus, the son is “x" years old today and his father being four times his son's age of x is, 4x. These equal the future age of 3 times the son's age in 5 years and the son's age plus 5 years. We add 5 to both because they are bothering aging 5 years I. The future.
See below and see how we broke down our sentences above into a written script.
4x + x = (3x +5)+ (x +5)
Next, we add the “x's" and any numbers upon their proper sides of the equal sign. We then do the same with the numbers
5x= 4x +10
Now we get the x's together on one side of the = sign and the numbers on the other. We do this by subtracting the smaller x from both sides
X=10
We now can prove the work.
The son is x yrs old. X=10, thus the son is 10. The father is 4x yrs old. 4(10)=40. The father is 4 times the son's age. So far this is proven. Let's move ahead.
Now check future and present together. We will use the original script.
4(10) + (10) = (3(10) + 5)+ ((10) + 5)
40+10=35+15
50=50. Proven
Present ages are 40 for the father and 10 for the son.
Answer:
The father is 40 yrs old
The son is 10 yrs old
Step-by-step explanation:
The father is 40 yrs old
The son is 10 yrs old
4 times his son's age.
5yrs in the future the father is 45 yrs old, and the son is 15 yrs old.
3 times the sons age.
We want to know the age. The age is an undetermined number that we will call “x" until we know otherwise. Thus, the son is “x" years old today and his father being four times his sons age of x is, 4x. These equal the future age of 3 times the son's age in 5 years and the sons age plus 5 years. We add 5 to both, because they are bothering aging 5 years I. The future.
See below and see how we broke down our sentences above into a written script.
4x + x = (3x +5)+ (x +5)
Next we add the “x's" and any numbers up on their proper sides of the equal sign. We then do the same with the numbers
5x= 4x +10
Now we get the x's together on one side of the = sign and the numbers on the other. We do this by subtracted the smaller x from both sides
X=10
We now can prove the work.
The son is x yrs old. X=10, thus the son is 10. The father is 4x yrs old. 4(10)=40. The father is 4 times the sons age. So far this is proven. Let's move aheaf.
Now check future ansd present together. We will use the original script.
4(10) + (10) = (3(10) + 5)+ ((10) + 5)
40+10=35+15
50=50. Proven
Present ages are 40 for the father and 10 for the son