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Sum of two numbers is 96. If one exceeds the other by 16. Find the number.?
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Sum of two numbers is 96. If one exceeds the other by 16. Find the num...
Given Information:
Sum of two numbers is 96 and one number exceeds the other by 16.
Let's solve the problem step by step:
Step 1: Define the variables
Let's assume the two numbers are x and y. Since one number exceeds the other by 16, we can write the equations as:
x + y = 96
x = y + 16
Step 2: Substitute the value of x in the first equation
Substitute the value of x from the second equation into the first equation:
y + 16 + y = 96
2y + 16 = 96
2y = 80
y = 40
Step 3: Find the value of x
Now that we have found the value of y, we can substitute it back into the second equation to find the value of x:
x = 40 + 16
x = 56
Step 4: Verify the solution
Let's verify the solution by checking if the sum of the two numbers is 96 and if one number exceeds the other by 16:
56 + 40 = 96 (sum of two numbers is 96)
56 - 40 = 16 (one number exceeds the other by 16)
Conclusion:
The two numbers are 56 and 40, where 56 exceeds 40 by 16.
Sum of two numbers is 96 and one number exceeds the other by 16.
Let's solve the problem step by step:
Step 1: Define the variables
Let's assume the two numbers are x and y. Since one number exceeds the other by 16, we can write the equations as:
x + y = 96
x = y + 16
Step 2: Substitute the value of x in the first equation
Substitute the value of x from the second equation into the first equation:
y + 16 + y = 96
2y + 16 = 96
2y = 80
y = 40
Step 3: Find the value of x
Now that we have found the value of y, we can substitute it back into the second equation to find the value of x:
x = 40 + 16
x = 56
Step 4: Verify the solution
Let's verify the solution by checking if the sum of the two numbers is 96 and if one number exceeds the other by 16:
56 + 40 = 96 (sum of two numbers is 96)
56 - 40 = 16 (one number exceeds the other by 16)
Conclusion:
The two numbers are 56 and 40, where 56 exceeds 40 by 16.
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Sum of two numbers is 96. If one exceeds the other by 16. Find the number.?
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Sum of two numbers is 96. If one exceeds the other by 16. Find the number.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sum of two numbers is 96. If one exceeds the other by 16. Find the number.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of two numbers is 96. If one exceeds the other by 16. Find the number.?.
Sum of two numbers is 96. If one exceeds the other by 16. Find the number.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sum of two numbers is 96. If one exceeds the other by 16. Find the number.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of two numbers is 96. If one exceeds the other by 16. Find the number.?.
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