Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Quantity A: The average temperature from Monday to Thursday is 39 degree while the average temperature from Tuesday to Friday is 37 degree. The temperature of Friday is 4/5 times that of Monday. If X is the temperature of Monday, then find 5% of X.
Quantity B: Five years ago, the average age of husband and wife was 27 years and today, the average of husband, wife and their child is 22 years. What is the age of the child?Quantity A:
Difference in temperatures of Monday and Friday = (39 × 4) – (37 × 4) = 8
The temperature of Friday is 4/5 times that of Monday;
If X is the temperature of Monday;
∴ X – 4X/5 = 8
⇒ X/5 = 8
⇒ X = 40
∴ 5% of X = 40 × 0.05 = 2
Quantity B:
Five years ago, the average age of husband and wife was 27 years;
∴ Total age of husband and wife today = 27 × 2 + 10 = 64 years
Since the average of husband, wife and their child is 22 years today;
∴ Total age of husband, wife and child today = 22 × 3 = 66 years
∴ Age of the child = 66 – 64 = 2 years
∴ Quantity A = Quantity B