Math, asked by vishvarathsaravanan, 28 days ago

What is the three consecutive odd numbers whose sum is 159

Plz answer soon frienda and follow​

Answers

Answered by sharmamahesh94093
0

Three consecutive odd number is between

51,53,55.

Answered by PanchalKanchan
1

Question :

What are the three consecutive odd numbers whose sum is 159 .

Answer :

The three consecutive odd numbers are

\sf\pink {Given :}

  • sum of three consecutive numbers is 159 .

\sf\pink {To\:find :}

  • The three numbers .

Explanation :

  • let first number be "x"

the next number after x will be x + 1 which is even so the next odd number will be x + 2 and the third odd number will be x + 4 .

  • second number is x + 2

  • third number is x + 4

By the given condition ,

first number + second number + third number = 159 .

\\ \longrightarrow\sf { x + x + 2 + x + 4 = 159}

\\ \longrightarrow\sf { 3x + 6 = 159}

\\ \longrightarrow\sf { 3x = 159 - 6}

\\ \longrightarrow\sf {3x = 153}

\\ \longrightarrow\sf { x = \dfrac {153}{3}}

\\ \longrightarrow\sf { x = 51}

  • First number = x

\\ \longrightarrow\sf { x = 51}

Therefore first number is 51 .

  • second number = x + 2

\\ \longrightarrow\sf { 51 + 2}

\\ \longrightarrow\sf { 53}

Therefore second number is 53

  • third number = x + 4

\\ \longrightarrow\sf { 51 + 4}

\\ \longrightarrow\sf { 55}

Therefore third number is 55

Verification :

first number + second number + third number = 159 .

\\ \longrightarrow\sf { 51 + 53 + 55 = 159}

\\ \longrightarrow\sf { 104 + 55 = 159}

\\ \longrightarrow\sf { 159 = 159}

\\ \longrightarrow\sf {LHS = RHS}

hence verified.

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