The sum of two numbers is 99. If one exceeds the other by 9, find the numbers.

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43 and 56

45 and 54

46 and 53

44 and 55

answer is B.

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Detailed Solution

Concept- In this case, we assume the first number is a variable and use the concept of linear equation to write the second number as a variable. Then we write an equation that adds both numbers and equals 99. We'll use the equation to determine the value of two numbers.
Let the first number be

.
It is given that one number is 9 more than the other number.
Then, the second number is

.
It is also given that the sum of two numbers is 99.
Then,

Combining all the terms with

Subtracting 9 from both sides,

Dividing by 2,

Then, the second number will be 54.
Therefore, the numbers are 45 and 54.
Hence, the correct answer is option 2) 45 and 54.

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