Athletes

Athletes standing in rows of eight. Ivan estimated that athletes are more than 120. Peter claimed that there are fewer than 130. Both are right. How many are athletes?

Result

n =  128

Solution:

n=8k 120<n<130 120<8k<130 15<k<16.25 k=16 n=16⋅8=128n = 8k \ \\ 120 < n < 130 \ \\ 120 < 8k < 130 \ \\ 15 < k < 16.25 \ \\ k = 16 \ \\ n = 16\cdot 8 = 128

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