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If difference between the squares of two consecutive numbers is 45. Find the largest number.
- A21
- B22
- C23
- D24
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Discussion 1
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CCommunity
Let the number be x,
Then, consecutive number will be (x + 1)
Given that, (x + 1)2 – (x)2 = 45
Using (a + b)2 = a2 + 2ab + b2
⇒ x2 + 1 + 2x – x2 = 45
⇒ 2x = 45 - 1 = 44
⇒ x = 22
∴ The largest number is 23.
Then, consecutive number will be (x + 1)
Given that, (x + 1)2 – (x)2 = 45
Using (a + b)2 = a2 + 2ab + b2
⇒ x2 + 1 + 2x – x2 = 45
⇒ 2x = 45 - 1 = 44
⇒ x = 22
∴ The largest number is 23.