Question

difference between the squares of two consecutive numbers is 35 the numbers are​

Answer 1

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Answer 2

$\Large{\underline{\underline{\bf{AnSweR:-}}}}$

Lєt thє 2 numвєrs вє ( х - 1 ) αnd х

Gívєn thαt, díffєrєncє вєtwєєn thє squαrєs σf thє twσ numвєrs ís 35.

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❥ х² - ( х - 1 )² = 35

❥ х² - ( х² - 2х + 1 ) = 35

❥ х² - х² + 2х - 1 = 35

❥ 2х - 1 = 35

❥ 2х = 35 + 1 = 36

❥ х = 36 ÷ 2 = 18

❥ ( х - 1 ) = 18 - 1

❥ ( х - 1 ) = 17

Thєrєfσrє thє twσ cσnsєcutívє numвєrs αrє 17 αnd 18.

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