Mathematics
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).
Linear Equations
2 Likes
Answer
Let x years be the age of the elder brother.
The age of the younger brother = (x - 5) years
Sum of their ages = 25 years
⇒ x + (x - 5) = 25
⇒ x + x - 5 = 25
⇒ 2x - 5 = 25
⇒ 2x = 25 + 5
⇒ 2x = 30
⇒ x =
⇒ x = 15 years.
The age of the younger brother = 15 - 5 = 10 years.
∴ Assertion (A) is true.
The difference between age of two brothers remains constant, even when they grow older.
Both individuals age by the same amount over any given period, effectively cancelling out the increase in their individual ages when calculating the difference.
∴ Reason (R) is true.
∴ Both Assertion (A) and Reason (R) are true, and Reason (R) is not the correct reason (or explanation) for Assertion (A).
Hence, option 4 is the correct option.
Answered By
2 Likes
Related Questions
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
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): Perimeter of a garden is 24 cm, while the difference between its length and width is 2 units. Then its area is 35 sq. cm.
Reason (R): If length of a rectangle is doubled, while width remains the same, then the perimeter also gets doubled.
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).
A 700 g dry fruit pack costs ₹ 432. It contains some almonds and the rest cashew kernel. If almonds cost ₹ 576 per kg and cashew kernel cost ₹ 672 per kg, what are the quantities of the two dry fruits separately?