SOLUTION: 1. three times the difference between three times a number and three is twenty-seven. find the number. 2. the sum of three consecutive odd numbers is 99. find the first number.

Algebra ->  Expressions -> SOLUTION: 1. three times the difference between three times a number and three is twenty-seven. find the number. 2. the sum of three consecutive odd numbers is 99. find the first number.       Log On


   

Question 174241: 1. three times the difference between three times a number and three is twenty-seven. find the number.
2. the sum of three consecutive odd numbers is 99. find the first number.
3. find two consecutive even integers such that six times the first equals four times the second . find the larger number
Answer by Mathtut(3670) About Me  (Show Source):
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1)3(3a-3)=27 where a is our unknown number
:
9a-9=27
:
9a=36
:
highlight%28a=4%29
:
2)let our 3 numbers be a,a+2,and a+4
:
a+a+2+a+4=99
:
3a=93
:
highlight%28a=31%29
:
consecutive odd intergers aresystem%2831%2C33%2C35%29
:
3)a and b=a+2 will be our integers
:
6a=4(a+2)
:
6a=4a+8
:
2a=8
:
a=4
:
highlight%28b=a%2B2=4%2B2=6%29the large integer