Math, asked by AalekhSarkar, 1 day ago

The difference between the squares of two consecutive numbers is 31. Find the numbers

Answers

Answered by SAGARTHELEGEND
12

Answer:

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TWO CONSECUTIVE NUMBERS ARE = 15, 16PROOF = 15² = 225 , 16² = 256

256 - 225 = 31

Step-by-step explanation:

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Answered by MysticSohamS
2

Answer:

hey here is your answer answer

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Step-by-step explanation:

so let the two numbers be x+1 and x wherein the biggest number is x+1 and smaller is x

so according to given condition

(x+1)square-x.square=31

ie x square+2x+1-x square=31

ie 2x=30

so x=15

substitute value of x in x+1

we get

x+1=15+1

=16

hence the two numbers are 16 and 15 respectively

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