Question

In 3 years time a dog will be as old as his owner was 5 years ago their present ages total 22 years find the age of each now simple understanding

Answer 1

Let's denote the current age of the dog as D and the current age of the owner as O.

According to the information given, in 3 years time, the dog will be D + 3 years old and the owner will be O + 3 years old.

It is also mentioned that in 3 years time, the dog will be as old as the owner was 5 years ago. This can be written as:

D + 3 = O - 5

And we are told that the present ages of the dog and owner total 22 years, meaning:

D + O = 22

Now we have a system of two equations:

1) D + O = 22
2) D + 3 = O - 5

From equation 2, we can rewrite it as:

D - O = -8
D = O - 8

Now substitute the value of D from equation 1 into equation 2:

O - 8 + O = 22
2O - 8 = 22
2O = 30
O = 15

So, the current age of the owner is 15 years old.

Now, plug this value back into equation 1 to find the age of the dog:

D + 15 = 22
D = 7

Therefore, the current age of the dog is 7 years old.