Question

the sum of present age of a father and son is 46.When the age of the son will be equal to the present age of the the father then the sum of their age will be 102..What are their present age?​

Answer 1

Answer:

Lets write the first statement as an equation. We will let x be the age of the father and y be the age of the son. Hence, we have the equation:

x + y = 46

Now we are told in two years time the relationship will be that the fathers age equals 4 times the sons age. So our equation becomes:

(x + 2) = 4(y + 2)

Which reduces to x + 2 = 4y +8. Solving for x we get x = 4y+6.

We can then substitute back into our original equation so that we get

4y + 6 + y = 46

Solving for y, we get 5y = 40 so y = 8.

Solving our original equation for x we have

x + 8 = 46. So x = 38.

Now lets do a QA check

38 + 8 = 46. Now in two years the father will be 40 and the son will be 10

40/10 which equals 4 which matches what was stated in the question

Thus we know that the present ages are:

father = 38

son = 8..

Step-by-step explanation:

Hope it will help you..