1. If a, b, c and d are four different positive integers selected from 1 to 25, then the highest possible value of ((a + b) + (c +d ))/((a + b) + (c - d)) would be:
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By: anil on 05 May 2019 02.37 am
Expression : $$frac{a + b + c + d}{a + b + c - d}$$ To maximize the above expression, we have to minimize the denominator Minimum value of the denominator = 1 So we can make $$a + b + c = 26$$ and $$d = 25$$ (as maximizing d will give denominator the least value). So required maximum value = $$frac{a + b + c + d}{a + b + c - d}$$ = $$frac{26 + 25}{26 - 25} = 51$$
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