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

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

72 and 73

13 and 14

35 and 36

92 and 93

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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

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.

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET