Math, asked by jagraj1, 1 year ago

the difference between the square of two consecutive numbers ii 49 .find the numbers.

Answers

Answered by RishabhBansal
1
Hey!!!

____________

let the two consecutive numbers be x and x + 1.

Then ATQ,

=> (x + 1)² - x² = 49

=> x² + 1 + 2x - x² = 49

=> 2x = 48

=> x = 24

Thus the numbers are 24 and 25

______________

Hope this helps✌️✌️

abhay022: Brother 24 and 25 is the correct answer .. (a+b)(a-b) = (a^2 -b^2).. ........ (25^2 - 24^2 ) = (25-24)(25+24) .... = (49)(1) = 49
RishabhBansal: oh yes
abhay022: ..
RishabhBansal: ok
Answered by Anonymous
1
Hey !
Here is your answer !!!
___________________

❇Let the numbers be x and x + 1 ✔

❇ According to the question

❇ ( x + 1 )2 - ( x )2 = 49

❇ x2 + 1 + 2x - x2 = 49

❇ 1 + 2x = 49

❇ 2x = 48

❇ x = 24 ✔

Hence the numbers are 24 and the other number is 25✔

______________

❇Hope this will help you !!✔

❇❇Have a great day !✔✔

@Ujjawal
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