Question

the difference between the squares of two consecutive number is 31 find the number

Answer 1

x+x+1=31
2x=30
x = 15
Two nos. =15 and 16
15=15×15=225
16=16×16=256
256-225=31
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Answer 2

Answer:- The two consecutive number are 15 and 16.

Explanation :-

Let the numbers be x and x + 1.

According given condition we get,

(x + 1)^2 – x^2 = 31

x^2 + 2x + 1 – x^2  = 31

2x = 31 – 1

x = 30/2

x = 15

Therefore, the numbers 15 and

We know the second number is x + 1

15 + 1

= 16

Therefore, the second number is 16.