Question

my age,my father age and my son's age are in the AP.Find my father's age if my age is 40 and my son's age is 10 years​

Answer 1

Step-by-step explanation:

Let the father present age =x years and son present age =y years

According to the first condition

5 years later father will be (x+5) years old and son will be (y+5) years old.

⇒x+5=3(y+5)

⇒x+5=3y+15⇒x=3y+10....eq1

According to the second condition

5 years ago father was (x−5) years old and son was (y−5) years old.

⇒x−5=7(y−5)

⇒x−5=7y−35

⇒x−7y=−30....eq2

Put the value of x from eq1

⇒3y+10−7y=−30⇒−4y=−40⇒y=10

Put y=10 in eq1

⇒x=3×10+10=40

Hence, Father present age =40 years

Son present age =10 years

Hope this will help you

Mark me as brilliant

Answer 2

Answer:

Hi there, here we have

Father's, Yours, Son's ages in an AP

And Your age = 40

         Son age = 10

So the common difference is = Your age - Son age = 40 - 10 = 30

So the Father's age will be,

        x - 40 = 30

        x = 70

You Father's age is = 70 years.

Hope this helps you.

All the Best