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Mathematics

The sum of three consecutive odd whole numbers is 87. The largest of these is:

  1. 27

  2. 31

  3. 29

  4. 25

Linear Eqns One Variable

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Answer

Let the three consecutive odd whole numbers be (x - 2), x and (x + 2).

According to question,

⇒ (x - 2) + x + (x + 2) = 87

⇒ x - 2 + x + x + 2 = 87

⇒ 3x = 87

⇒ x = 873\dfrac{87}{3}

⇒ x = 29

Other numbers are (x - 2), (x + 2)

= (29 - 2) , (29 + 2)

= 27, 31

The larger number is 31.

Hence, option 2 is the correct option.

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