aksharasdhakan aksharasdhakan
  • 21-05-2022
  • Mathematics
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18. Express the following as the sum of two consecutive integers.
(i) 152
(ii) 192

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fieryanswererft
fieryanswererft fieryanswererft
  • 21-05-2022

Explanation:

Let the two consecutive numbers be x and (x +1)

(i)

⇒ x + (x + 1) = 152

⇒ 2x + 1 = 152

⇒ 2x = 152 - 1

⇒ 2x = 151

⇒ x = 151/2

⇒ x = 75.5

So, the integers are: 75.5, 76.5

(ii)

⇒ x + (x + 1) = 192

⇒ 2x + 1 = 192

⇒ 2x = 192 - 1

⇒ 2x = 191

⇒ x = 191/2

⇒ x = 95.5

So, the integers are 95.5, 96.5

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