If a − 1 = b + 2 = c − 3 = d + 4 = e − 5, then the largest number among a, b, c, d, and e is
Question
If a − 1 = b + 2 = c − 3 = d + 4 = e − 5, then the largest number among a, b, c, d, and e is
Solution
The given equation is a − 1 = b + 2 = c − 3 = d + 4 = e − 5.
Let's assume that a − 1 = b + 2 = c − 3 = d + 4 = e − 5 = k.
Then, we can rewrite the equations as follows:
a = k + 1 b = k - 2 c = k + 3 d = k - 4 e = k + 5
From these equations, it is clear that the value of 'e' is the largest among a, b, c, d, and e because it is 'k' plus the largest number (5).
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