Find the two numbers such that, one exceeds the other by 18 and the sum of the two numbers is 92
Question
Find the two numbers such that,
- one exceeds the other by 18
- the sum of the two numbers is 92
Solution
Let's denote the two numbers as x and y.
According to the problem, we have two equations:
- x = y + 18 (one number exceeds the other by 18)
- x + y = 92 (the sum of the two numbers is 92)
We can solve these equations step by step:
Step 1: Substitute equation 1) into equation 2), we get: (y + 18) + y = 92 2y + 18 = 92 2y = 92 - 18 2y = 74 y = 74 / 2 y = 37
Step 2: Substitute y = 37 into equation 1), we get: x = 37 + 18 x = 55
So, the two numbers are 37 and 55.
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