Question

The sum of two consecutive natural numbers and the square of the first is 5329. what are the numbers? ​

Answer 1

Answer:

Let the two consecutive natural numbers be a and a+1.

According to the question,

⇒ a+(a+1)+a

2

=5329

⇒ 2a+1+a

2

=5329

⇒ a

2

+2a+1=5329

⇒ (a+1)

2

=5329

⇒ a+1=73

⇒ a=72

Thus, the two numbers are 72 and 73.

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Answer 2

Answer:

x+x-1

x2 =5329

x=73

73+73+1

=73+74=143