The larger of two numbers is seven more than five times the smaller. If their sum is 61, what are the numbers?
Question
Solution 1
Let's denote the smaller number as x and the larger number as y.
From the problem, we have two equations:
y = 5x + 7 (since the larger number is seven more than five times the smaller number)
x + y = 61 (since their sum is 61)
We can substitute equation 1 into equation 2 to solve for x:
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