The sum of two numbers is 60 and their difference is 12.
What is the larger number?
Show answer & explanation
Correct answer: A
Explanation
Let the two numbers be x and y, where x is the larger number.
According to the question:
• x + y = 60 ...(1)
• x − y = 12 ...(2)
Adding equations (1) and (2):
2x = 60 + 12
2x = 72
x = 36
Thus, the larger number is 36.
Correct Option: (A)