g) the sum of 5 number is 165 then find the average.
Answers
Given:
The sum of five consecutive odd natural number is 165.
\boxed{\boxed{\bf{To\:\:be\:\:found:}}}
Tobefound:
All the five consecutive odd natural numbers whose sum is 165.
Let one odd number be \red{\sf{x}}x .
other odd consecutive numbers will be
\red{\sf{x+2}}x+2 , \red{\sf{x+4}}x+4 , \red{\sf{x+6}}x+6 , \red{\sf{x+8}}x+8
\red{\underline{\tt{According\:\:to\:\;the\:\:question-}}}
Accordingtothequestion−
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 165
→ 5x + 20 = 165
→ 5x = 165 - 20
→ 5x = 145
→ x = 145 ÷ 5
→ x = 29
So,
The first odd natural number is 29
other numbers are
\red{\sf{x+2}}x+2 = 29 + 2 = 31
\red{\sf{x+4}}x+4 = 29 + 4 = 33
\red{\sf{x+6}}x+6 = 29 + 6 = 35
\red{\sf{x+8}}x+8 = 29 + 8 = 37
\gree{\underline{\sf{Verification-}}}\gree
Verification−
29 + 31 + 33 + 35 + 37
= \red{\sf{(29 + 31)}}(29+31) + \blue{\sf{(33 + 35)}}(33+35) + 37
= \red{\sf{60}}60 + \blue{\sf{68}}68 + 37
= \green{\sf{(60 + 68)}}(60+68) + 37
= \green{\sf{128}}128 + 37
= \boxed{\boxed{\bf{165}}}
165
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Step-by-step explanation:
average of 5 numbers = sum / 5
= 165 / 5 = 33