2 years ago

Expanded form for 32.459 62

Mathematics

1 answer:

aksik [14]2 years ago

7 0

30.+2.+.40000+.05000+.00900+.00060+.00002

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Find three consecutive odd integers such that the sum of the smaller number and middle number is 27 less than 3 times the larges

Anna35 [415]

$\bf \stackrel{\textit{smaller odd integer}}{2a+1}~\hspace{5em}\stackrel{\textit{middle odd integer}}{2a+3}~\hspace{5em}\stackrel{\textit{largest odd integer}}{2a+5}
\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf \stackrel{\textit{sum of smaller and middle}}{(2a+1)+(2a+3)}~~\stackrel{is}{=}~~\stackrel{\textit{three times the largest, and less 27}}{3(2a+5)-27}
\\\\\\
4a+4=6a+15-27\implies 4a+4=6a-12\implies 12+4=6a-4a
\\\\\\
16=2a\implies \cfrac{16}{2}=a\implies 8=a
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{2a+1}{17}~\hspace{7em}\stackrel{2a+3}{19}~\hspace{7em}\stackrel{2a+5}{21}~\hfill$