Aptitude - Problems on Ages - Discussion

Take Ayesha age at a time to find the difference.

Ayesha age=0 then father age=38.
Ayesha's brother, who is younger than him by 4 years.
When Ayesha'brother born his mother age =36 that time Ayesha age is 4 year.
So back to four years that time Ayesha age is 0 and his mother age is 32.
Now, find the difference of father and mother age because of now Ayesha age become=0.
To find differene of age either Ayesha age for his brother age must be =0<<<<<.

When Ayesha born father age is 38.

After 4 year born son then mom age is 36.
So after 4 years (38+4) =42.
Then the difference in present age 42-36=6.

Fathers age - Mothers age -----> 38-36 = 2,
brothers age ---> (x-4),
so,
(x-4)=2,
x = 6.

Ayesha's mother was 36 years old when her brother four years younger to her means when Ayesha born her mother's age 36 - 4 = 32 years.

And when she born her father's age 38.
So, 38 - 32 = 6 years.

I think the right answer is 2 years.

Let, Ayesha Age was X year when she born.

That time father age was 38 yrs.

Now father age X+38 and as well as Mother's age X+36.

Brother is younger than Ayesha was 4 yrs

So, X-4 .

Now Difference = (X+38) - (X+36) = X-4

X+38-X-36 = X-4

2 = X-4

So,

X = 6 yrs.

I don't get it. How can we assume that Ayesha's brother was born when she was 4 ? all the thing is given was difference between them is 4 years. Anybody please explain.

Let Ayesha's age be denoted by A, her father's age by AF, her mother's age by AM and her brother's age by AB respectively.

Then acc to all the givens in the question,

AF - A = 38 --- (1).
A - AB = 4 --- (2).
AM - AB = 36 --- (3).

Now,

AM - AB = 36 [from Equation (3)].

AM - (A-4) = 36 [from Equation (2)].

AM - (AF - 38 - 4) = 36 [from Equation(1)].

AM - AF + 38 + 4 = 36.

AF - AM = (38 + 34) - 36.

AF - AM = 42 - 36.

=> 6 (ANS).

Nice question.

Ayesha's father age = 38 (when she was born).

Ayesha's mother's age = 36 (when her brother born).

Her brother was 4 years younger than her. So, at that time her age 4 years.

Then her father age is also 4 years increase i.e 42.

42-36 = 6 years.