Nicholas (nwhyte) wrote,
Nicholas
nwhyte

Numbers answer

A few days ago I asked what the next pair of numbers in this series is:

49, 1
50, 10
53½, 21½
55, 25
60½, 35½
62, 38

pwilkinson has posted the correct answer:
70,50

The diference between the squares of each pair of numbers is 2400:
492 - 12 = 2401 - 1 = 2400 (48*50)
502 - 102 = 2500 - 100 = 2400 (40*60)
53½2 - 21½2 = 2862¼ - 462¼ = 2400 (32*75)
552 - 252 = 3025 - 625 = 2400 (30*80)
60½2 - 35½2 = 3660¼ - 1260¼ = 2400 (25*96)
622 - 382 = 3844 - 1444 = 2400 (24*100)
702 - 502 = 4900 - 2500 = 2400 (20*60120)

And so on up to 1200½2 - 1199½2 = 1441200¼ - 1438800¼ = 2400 (1*2400).
Tags: numbers quiz
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