The sum of three consecutive integers is 51.find the number
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Answered by
3
Let the nos be x,x+1,x+2
=>x+x+1+x+2=51
3x+3=51
3(x+1)=51
x+1=17
x=16
x+1=17
x+2=18
=>x+x+1+x+2=51
3x+3=51
3(x+1)=51
x+1=17
x=16
x+1=17
x+2=18
KyloRen314:
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Answered by
2
☆here is your answer~
let three consecutive integers are (a-d),a, (a+d).
a/q,
a-d+a+a-d=51
3a=51 (d will be cancelled. )
a=17.
and,
(a-d)×a×(a+d)=(a^2-d^2)a
=(17^2-d^2)17
=(289-d^2)17
d^2=289
d=17.
hence, numbers are (a-d) a (a+d)
=0,17,34.
hope you got it. it helps.
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