The difference between the squares of 2 consecutive numbers is 31.find

1.	The difference between the squares of 2 consecutive numbers is 31.find the number
Answer» Answer: 15 And 16 Step-by-step explanation: Let the two CONSECUTIVE NUMBERS be (X) and (x+1) ATQ, (x+1)^2-x^2=31 x^2+2x+1-x^2=31 2x+1=31 2x=30 x=15 And, x+1=15+1=16

The difference between the squares of 2 consecutive numbers is 31.find the number

Answer»

Answer:

15 And 16

Step-by-step explanation:

Let the two CONSECUTIVE NUMBERS be (X) and (x+1)

ATQ,

(x+1)^2-x^2=31

x^2+2x+1-x^2=31

2x+1=31

2x=30

x=15

And, x+1=15+1=16

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The difference between the squares of 2 consecutive numbers is 31.find the number

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