Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 3)
3.
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
14 years
19 years
33 years
38 years
Answer: Option
Explanation:

Let the son's present age be x years. Then, (38 - x) = x

2x = 38.

x = 19.

Son's age 5 years back (19 - 5) = 14 years.

Discussion:
99 comments Page 6 of 10.

Ranjiraj Nair said:   10 years ago
Father Son.

Present age -> 38 let be 'x'.

At Birth -> 38-x (x-x) = 0.

By statement: I was means father was was as old as you as you are at the present i.e. son at the time of son's birth so,

Present age of son = x years.

Fathers age at son's birth = (38-x).

Just equate it: x = 38-x.

x = 19.

They want 5 years ago so 19-5 = 14.

Praveen said:   10 years ago
Is there any new process to solve guys without taking the help of variables.

Siri said:   10 years ago
Hai.

Already we initialed that son age is:x.

Then how? We again take x as father age at the time of sons birth.

Aditya said:   1 decade ago
How can this man give birth to a child when he is only 19?

Gandharva said:   1 decade ago
38-x = y.

Here 38 is the present age of the father, and x is the present age of the son,

If we subtract 38 from x, we get father's age at the time of son's birth i.e. "y".

According to given condition, father's age at the time of son's birth = Son's present age.

Therefore here y = x means 38-x = x.

Akshay said:   1 decade ago
I am still not getting 38-x = x?

Divya Agrawal said:   1 decade ago
Can be taken as at the time of son birth father was x year old,

Both increases with like son = 1, father = x+1.

Son = 2, father = x+2.

Now situation is son is x, means father is 2x.

Shradha said:   1 decade ago
From solution we found that, x = 19 i.e. son's present age.

Father's present age = 38.

Given statement: "I was as old as you are at the present at the time of your birth".

i.e age of father when his was born.

Hence, Father's present age - Son's present age.

= 38-19 = 19. Father's age at the time of his son's birth.

And son's present age + Father's age at the time of his son's birth.

i.e 19+19 = 38. Its prove check it out.

Nanda said:   1 decade ago
@ Kusuma:

"I was as old as you are at the present at the time of your birth".

Means:- Let us assume that son has 10 years now then.

At present father age = 10 years before to son + 10 years after to son.

i.e 20 so son age is half of the father age.

Pradeep Kumar Maurya said:   1 decade ago
38-x = x.

LHS RHS.

Keep the variable one side and numbers also a side,

We get,

38 = x+x (Because LHS-x when it will put on RHS then sign will be change as per rule).

Now, 38 = 2x.

38/2 = x (Here coefficient of x i.e. 2 will be denominator of 38).

19 = x.

You can say x = 19.


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