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Nikitich [7]
3 years ago
12

I live on the 15th floor of an apartment building. My friend, Emily, comes to visit me every Saturday. Last year she would alway

s ride the elevator to the 7th floor and walk up the rest of the way. This year she rides the elevator to the 9th floor and the walks the rest of the way. Why does she do this? (Additional clue: On rainy days she rides the elevator all the way up to the 15th floor).
Help Please
Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
6 0
Because she wants to walk and keep fit. Maybe she gets tired walking 8 floors so this year she prefers to walk 6 floors.
timurjin [86]3 years ago
5 0
She probably does that for exercise. So, she gets to the level that she wants, and she gets more exercise so she gets there faster.
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Three consecutive odd integers have a sum of 27. Find the integers.
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\sf \bf {\boxed {\mathbb {GIVEN:}}}

Sum of three consecutive odd integers = 27

\sf \bf {\boxed {\mathbb {TO\:FIND:}}}

The values of the three integers.

\sf \bf {\boxed {\mathbb {SOLUTION:}}}

\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

Let us assume the three consecutive odd integers to be x, (x+2) and (x+4).

As per the condition, we have

Sum \:  \:  of \:  \:  the  \:  \: three \:  \:  consecutive \:  \:  odd \:  \:  integers  = 27

➺ \: x + (x + 2) + (x + 4) = 27

➺ \: x + x + 2 + x + 4 = 27

Now, collect the like terms.

➺ \: (x + x + x) + (2 + 4) = 27

➺ \: 3x + 6 = 27

➺ \: 3x = 27 - 6

➺ \: 3x = 21

➺ \: x =  \frac{21}{3} \\

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Therefore, the three consecutive odd integers whose sum is 27 are \boxed{  7  }, \boxed{ 9   } and \boxed{ 11   } respectively.

\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}

⇢ 7 + 9 + 11 = 27

⇢ 27 = 27

⇢ L. H. S. = R. H. S.

\sf\blue{Hence\:verified.}

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