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Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.
Question
Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.
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Mathematics
4 years
2021-08-31T12:13:20+00:00
2021-08-31T12:13:20+00:00 2 Answers
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Answers ( )
Answer:
-19.333…
-18.333…
-17.333…
Step-by-step explanation:
First is x
Second is x+1
Third is x+2
2x+3(x+1)=2(x+2)-55
2x+3x+3=2x+4-55
5x+3=2x-51
5x-2x=-51-3
3x=-58
3x/3=-58/3
x=-19.333…
x+1=-19.333+1
=-18.333…
x+2=-19.333+2
=-17.333…
Answer:
Step-by-step explanation:
let the numbers be n,n+2,n+4
2n+3(n+2)=2(n+4)+55
2n+3n+6=2n+8+55
2n+3n-2n=63-6
3n=57
n=57/3=19
so numbers are 19,21,23