Question

I am three times as old as my son. Five years
1
later, I will be only 2= times older than him.
2.
How old are we now ?
11 his son
After​

Answer 1

Answer:

Lets assume your current age is F and your son's current age is S.

5 years ago, you were 3 times as old as your son. 5 years ago you were F - 5 years old and your son was S - 5 years old.

So we know that F - 5 = 3 (S - 5) or F - 3S = -10 --> Lets call this equation 1.

We also know that 5 years hence you will be twice as old as your son. 5 Years hence your age would be F + 5 and your son's age would be S + 5.

So we know that F + 5 = 2 (S + 5) or F - 2S = 5 --> Lets call this equation 2.

Lets subtract Equation 1 from Equation 2; we get

F - 2S - (F - 3S) = 5 - (-10)

or

S = 15 => your son's current age is 15 .

Lets substitute this in equation 2; we get

F - 2(15) = 5 or F = 35

Therefore your current age is 35.

We can quickly check if this matches the facts:

5 years ago, you were 30 and your son was 10. So you were three times his age then.

5 years hence, you will be 40 and your son will be 20. So you will be twice his age.

Step-by-step explanation:

hope it helps you