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Q.

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

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a

72 and 73

b

13 and 14

c

35 and 36

d

92 and 93

answer is A.

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Detailed Solution

Concept- We must set the criteria in accordance with the problem, assume that a variable is a natural number, and solve the equation to obtain the numbers in order to answer this problem.
If x is a natural number, the next number after x will be x + 1.
It is stated that 5329 is the result of adding the squares of the first two consecutive natural integers.
In light of the aforementioned equation, the following may be stated:
Question Image

Question Image

5329 has a square root of just 73.
Thus, since x = 72 and x + 1 = 73, the two numbers are 72 and 73.
Hence, the correct option is 1) 72 and 73.

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