Math, asked by suryansh75281, 7 months ago

The sum of two consecutive odd numbers is 60. Find the smaller number.

Answers

Answered by BloomingBud
13
  • The smaller number is 29

Given:

The sum of two odd consecutive number is 60

To find:

The smaller odd number

Let the two consecutive odd number be x and (x+2)

Odd number = The number which is not divisible by 2.

Consecutive number = The numbers next to it before.

Now,

According to the question, the equation formed is

⇒ x + (x+2) = 60

⇒ 2x + 2 = 60

⇒ 2x = 60 - 2

[By transporting 2 to RHS]

⇒ 2x = 58

⇒ x = 58 ÷ 2

[By transporting 2 to RHS]

⇒ x = 29

So,

The two consecutive numbers are,

  • x = 29
  • x+2 = 29 + 2 = 31

--------

Verification:

The sum of two consecutive numbers equal to 60 or not.

So,

29 + 31 = 60

Verified

Answered by BrainlyEmpire
167

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SOLUTION:-

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➢ 29 and 31

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➢ Let the numbers be considered as x and

  • ➢ (x+2). From the data, we can writ

  • ➢ x+ (x+2) = 60

  • ➢ x+x+2=60

  • ➢ 2x +2 60

  • ➢ Subtract 2 from each side.

  • ➢ 2x = 58

  • ➢ Divide both sides by 2.

  • ➢ X = 29

  • ➢ *(x * 2) = 29 +2 =31

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