Question

if your age is T, and you are 30 years younger than your father. tell me what is your age?​

Answer 1

Answer:

My father was 35 when I was 1/5 his age. Now, I am 20. How old will my father be in 10 years?

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Ans: Your father will be 45 or 58 years old in 10 years.

Explanation:

According to question,

When your father was 35, you are 1/5 of his age (i.e. 35 × 1/5 = 7 years)

It means you are 28 years younger than your father (i.e. age difference = 28 years)

Note: This age different is permanent i.e. it is not changed with time.

Again, acccording to question:

How old will my father be in 10 years?

There is an ambiguity about counting of 10 years i.e. from which date 10 years should be count. Whether it count from the date when your father was 35 or it counts from the date when you are 20?

I answer both the possibilities

Possibility 1: When your father was 35.

When your father was 35, his age after 10 years would be:

= Your father aged + 10 years

= 35 years + 10 years

= 45 years.

Hence, your father age after 10 years would be 45 years

Possibility 2: When you are 20.

When you are 20, your father age would be:

= Your present age + Age Difference

= 20 years + 28 years

= 48 years.

Your father current age is 48 years.

Thus, your father age after 10 years would be:

= Your father current age + 10 years

= 48 years + 10 years

= 58 years

Hence, your father age after 10 years would be 58 years

Answer 2

Answer:

Let the present age of the son be x years

Then father's age will be (x+30) years

Given after 12 years father will be three times as old as his son

Therefore,

(x+12)3=x+30+12

3x+36=x+42

3x−x=42−36

2x=6

x=3

x+30=3+30=33

So, the present age of son is 3 years and present age of the father is 33 years