Question

(iii) The difference between the squares of two consecutive odd numbers is 56. Find the numbers.​

Answer 1

Answer:

Let the smaller odd number be x ,then the next consecutive odd number will be x+2

(Consecutive odd numbers differ by 2)

Then according to the question,

x+x+2=56

2x=56−2=54

x=27

x+2=29

The numbers are 27 and 29.

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Answer 2

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Let the two consecutive numbers be x and x + 2

$= > x + x + 2 = 56 \\ = > 2x = 56 - 2 \\ = > 2x = 54 \\ = > x = \frac{54}{2 } \\ = > x = 27 \\ = > x + 2 = 27 + 2 = 29$

Therefore the numbers are 27 and 29.

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