The sum of 3 consicutive odd numbers is 255. Find the number
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let the first odd number be x
2nd odd number = x+2
3rd odd number = x+4
(odd no + even no gives an odd no . eg - 5+2=7 , here 5 is an odd number and 2 is an even number , when we add them we get an odd number.)
according to the question ,
x+x+2+x+4=255
3x+6=255
3x=255-6
3x=249
x= 249/3
x= 83
hence , first odd number = 83
2nd odd number = 83 + 2 = 85
3rd odd number = 83 + 4 = 87
Verification :
83 + 85 + 87 = 255
hence , the three consecutive odd numbers , are 83,85 and 87
hope it helps :)
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