We have to find what n is.
Therefore:
52/16=3.25
Check:
3.52 x 16=52
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52 = 4 + (n-1)3 → 3(n-1) = 48 → n - 1 = 16 → n = 17
Denote the lowest of the three consecutive numbers as n. Then the other numbers are n +1 and n +2. From the problem statement, n(n + 1) = (n + 2)2 -52, or: n2 + n = n2 + 4n + 4 - 52, or 3n = 48, or n = 16. Check: 16 X 17 = 272; 18 X 18 = 324; 324 - 272 = 52.
n+15 = 52 n = 52-15 n = 37
4/13 is the answer to 16/52 because 4 times 4= 16 and 4 times 13 = 52
6, 8, 10. 102 is 100. Subtract 52 from that, and you get 48, which is 6.8 Method: call the smaller of the unknown even numbers n. Then, from the problem statement, n(n+2) + 52 = (n + 4)2. Multiplying out yields n2 + 2n + 52 = n2 + 8n + 16. Collecting like terms from both sides yields 6n = 36 or n = 6.