Question

the ratio of the present ages of person and his son is 8:1. 8 years hence the ratio will be 10:3 what is the present age of the father​

Answer 1

Answer:

Present age of father is 32

Step-by-step explanation:

Given,

present ages of father and son in the ratio 8p:1p

8 years hence their ages will become 8p+8:1p+8

so,

8p+8/1p+8=10/3

by solving we get p=4

father age will be 8*4=32

Answer 2

Given,

The ratio of the present ages of a person and his son is 8:1.

8 years hence the ratio will be 10:3.

To find,

The present age of the father.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the present ages of the person and his son are 8x and x years, respectively.

After 8 years;

The age of the person = (8x+8) years

The age of his son = (x+8) years

Now, according to the question;

8 years hence the ratio of their ages = 10:3

=> (8x+8) years/(x+8) years = 10/3

=> 3(8x+8) = 10(x+8)

=> 24x + 24 = 10x + 80

=> 14x = 56

=> x = 4

So, the present age of the father

= the present ages of the person

= 8x years = 8 × 4 years

= 32 years

Hence, the present age of the father is equal to 32 years.