The four consecutive odd numbers which add up to 120 are 27, 29, 31 and 33.
It can be found out as follows:
Let 'x' be the smallest odd number.
The next odd numbers will be 'x+2', 'x+4', 'x+6'.
The addition of these four numbers will give 120.
Therefore,
x+(x+2)+(x+4)+(x+6)=120
4x+12=120
x+3=30
Therefore, x=27.
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10 and 12
120 and 122.
114 115 116 117 118 119 120 121 122 123 124 125 126
60
((x+6)(x+8))-((X + 2)(X+4)) = 72(x^2 + 14x + 48)-(x^2 + 6x + 8) = 728x + 40 = 728x = 32x = 4check:((10)(12))-((6)(8)) = 72(120)-(48) = 72120 = 12012,10,8,6The numbers are 6, 8, 10, and 12.Here is how we find them:(n + 6)(n + 4) - (n + 2)n = 72; whence,(n2 + 10n + 24) - (n2 + 2n) = 8n + 24 = 72,8n = 48, andn = 6.So, let's try it!(12)(10) - (8)(6) = 120 - 48 = 72.It works!