Explanation

"My daughter's father" = Dayyan himself

So:

Father of my daughter's father = Father of Dayyan

His only brother is the father of my daughter's father means:

The gentleman's only brother = Father of Dayyan

So the gentleman is the brother of Dayyan's father.

Gentleman is Uncle of Dayyan.

Last verified on 20-10-2026

Explanation

Let youngest brother = x

Sarah = 2x

Difference = 2x - x = 15

x = 15 years

So brother is 15, Sarah is 30.

Last verified on 20-10-2026

Explanation

3x + x = 32

4x = 32

x = 8

Younger brother = 8 years

Last verified on 20-10-2026

Explanation

Combined work per day:

A = 1/12

B = 1/18  

C = 1/36

Together in 1 day:

1/12 + 1/18 + 1/36 = 3/36 + 2/36 + 1/36 = 6/36 = 1/6

If they do 1/6 of the task in 1 day, they do the full task in 6 days.

Last verified on 17-10-2026

Explanation

5 machines = 5 widgets in 5 minutes

So 1 machine = 1 widget in 5 minutes

100 machines will make 100 widgets in same 5 minutes (each machine makes 1)

Last verified on 12-10-2026

Explanation

Let A's present age = x

10 years ago:

Mother's age = 4 _ (x - 10)

After 10 years:

Mother's age = 2 _ (x + 10)

Difference between those two mother ages is 20 years:

4(x - 10) + 20 = 2(x + 10)

4x - 40 + 20 = 2x + 20

4x - 20 = 2x + 20

2x = 40

x = 20 years

Last verified on 12-10-2026

Explanation

• Speed = 12 km/h
• Time = 15 minutes = 15/60 = 1/4 hour

Formula:

Distance = Speed x Time 

= 12 x 1/4

$$= 12 times frac{1}{4}$$ =3 km

Explanation

Let the present age of the son = x years.

Present age of the father = 45 − x years.

5 years ago:

Father's age = 40 − x

Son's age = x − 5

According to the question:

40 − x = 6(x − 5)

40 − x = 6x − 30

70 = 7x

x = 10

Son's present age = 10 years.

Father's present age = 45 − 10 = 35 years.

Last verified on 08-10-2026

Explanation

Total work = 72 workers 40 days = 2880 worker-days

For 64 workers:

Days = 2880 / 64 = 45 days

Last verified on 07-10-2026

Explanation

Let son's age now = x

Father's age now = 4x

After 20 years:

Son = x + 20

Father = 4x + 20

According to question:

4x + 20 = 2 * (x + 20)

4x + 20 = 2x + 40

4x - 2x = 40 - 20

2x = 20

x = 10

Son is 10 years old now (Father is 40).

Last verified on 07-10-2026