Mathematics
Father's age is six times his son's age. Four years hence, the age of the father will be four times his son's age. The present age in years of the son and the father are, respectively,
4 and 24
5 and 30
6 and 36
3 and 24
Answer
Let age of son be x years so, the age of father is 6x years.
After 4 years,
Age of son = (x + 4) years
Age of father = (6x + 4) years.
According to question,
⇒ 6x + 4 = 4(x + 4)
⇒ 6x + 4 = 4x + 16
⇒ 2x = 16 - 4
⇒ 2x = 12
⇒ x = 6.
Age of father = 6x = 36.
Hence, Option 3 is the correct option.
Related Questions
Aruna has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of the money with her is ₹75, then the number of ₹1 and ₹2 coins are respectively
35 and 15
35 and 20
15 and 75
25 and 25
The age of a woman is four times the age of her daughter. Five years hence, the age of the woman will be three times the age of her daughter. The present age of the daughter is
40 years
20 years
15 years
10 years
Consider the following two statements:
Statement 1: A husband is 2 years older than his wife, and sum of their ages is 52 years. Then the wife is 25 years old.
Statement 2: A father is twice as old as his daughter, and difference of their ages is 26 years. Then the father is 50 years old.
Which of the following is valid?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and Statement 2 is false.
Statement 1 is false, and Statement 2 is true.
Assertion (A): Difference between ages of two brothers is 5 years, while sum of their ages is 25 years. Then the younger is 10 years old.
Reason (R): The difference between age of two brothers remains constant, even when they grow older.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).