The difference between the squares of two con | vedclass

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Question

(C) Let the two consecutive numbers be $x$ and $(x+1)$.According to the problem,the difference between their squares is $35$.So,$(x+1)^{2} - x^{2} = 3

Vedclass · Accepted Answer

$17, 18$

Vedclass · Answer

(C) Let the two consecutive numbers be $x$ and $(x+1)$.According to the problem,the difference between their squares is $35$.So,$(x+1)^{2} - x^{2} = 35$.Expanding the square: $(x^{2} + 2x + 1) - x^{2} = 35$.Simplifying the equation: $2x + 1 = 35$.Subtracting $1$ from both sides: $2x = 34$.Dividing by $2$: $x = 17$.Therefore,the two consecutive numbers are $17$ and $17+1 = 18$.

The difference between the squares of two consecutive numbers is $35.$ The numbers are

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