# mathematics

posted by .

the present age of a father and his son are in the ratio 10:3. if the son is 15 years old now, in how many years will the ratio of their age be 2:1?

• mathematics -

present:
father --- 10x
son -------3x

3x = 15
x = 5
son is now 15 and father is now 50

in t years,
(50+t)/(15+t) = 2/1
30+2t = 50+t
t = 20

in 20 years , the father will be 70 and the son will be 35
(which is in the ratio of 2:1 )

• mathematics -

The arithmetic mean of x y and z is 6 while x y z t u v and w is 9 calculate the arithmetic mean of t u v and w.

## Similar Questions

1. ### Math

Translate this situation into a system of equations of the first degree in two variables and make sure you identify the variables clearly: Today, the difference in age between a father and his son is 23 years. Two years from now, the …
2. ### Math

I cant figure this out! Can someone please tell me were my mistake is?
3. ### algebra

The combined age of a father and his two sons is 50 years. Four years ago the father was eight times as old as his older son. Four years from now he will be 4 times as old as his younger son. Find the age of each at present. I found …
4. ### Math

At present, the sum of the ages of a father and his son is 33 years. Determine the smallest number of years until the father's age is 4 times the son's age.
5. ### Algebra

a man's age today is 2 years more than three times the age his son will be 5 years from now. let a represent the son's age today. Write an expression to represent the man's age today. Then find his age if his son is now 8 years old.
6. ### math

the sum total of the ages of the son and his father is 58 years.if 7 years after the ratio of the ages of the son and father will be 1:3,then what is the age of son now?
7. ### problems on age

1. The sum of ages of father and son is 64 years. Father says to son, “I am 5 times as old as you were when I was of your age.” What is the sum of digits of son’s age?
8. ### math

Ten years ago,father was twelve times as old as his son and ten years from now,he will be twice as old as his son. Find the present age
9. ### Math

Ten years ago the age of the father was four times of his son. Ten years hence the age of the father will be twice that of his son. The present ages of father & son are?
10. ### Math

Five years ago, a father was 3 times as old as his son. Now, their combined ages amount to 110 years. Thus, the present age of the father is?

More Similar Questions