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80% of a smaller number is 4 less than 40% of a larger number. The larger number is 85 greater than the smaller one. The sum of these two number is

a) 325
b) 425
c) 235
d) 500

Answer: c
Explanation: Let the smaller number be x and larger number be y
According to the question,
80% of x + 4 = 40% of y
4y – 8x = 40
y – 2x = 10 —– (1)
y – x = 85 —– (2)
By using (1) and (2),
x = 75
y = 160
x + y = 235

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