Question

the age of a man and his son is in the ratio 4:1.Five years hence the respective ratio of their ages will be 3:1.How old is the father?

Answer 1

Answer:

Father is 40 years old

Step-by-step explanation:

See attachment

let X be age of son

y be age of father

Answer 2

Given:

The ratio of present ages=4:1

The ratio of ages 5 years hence=3:1

To find:

The father's age

Solution:

The required age is 40 years.

Let the man's age today be X and his son be Y.

We know that their current age ratio is 4:1.

Using the values,

X: Y=4:1

X/Y=4/1

X=4Y (1)

Now, 5 years later, the father's age=(X+5), the son's age=(Y+5).

The age ratio after 5 years=3:1

Using the values, we get

(X+5):(Y+5)=3:1

(X+5)/(Y+5)=3/1

(X+5)=3(Y+5)

On solving,

X+5=3Y+15

From (1),

4Y+5=3Y+15

4Y-3Y=15-5

Y=10 years

So, X=4Y

X=4(10)

X=40 years

The father's age=40 years

Therefore, the required age=40 years.