Question

Question :
Express the square of 13 as a sum of two consecutive natural numbers.

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Answer 1

Answer:

square of 13 = 169

the 2 consecutive number can be 84.5 or 100 + 69

Answer 2

Answer

• 84 and 85

Given :-

• 13²

To Find :-

• Express the square of 13 as a sum of two consecutive natural number.

Solution :-

Let the two consecutive numbers be x and x+1

As per the question :-

$\hookrightarrow \sf{x + (x + 1) = 13 ^{2} }$

$\hookrightarrow \sf{x + (x + 1) = 169}$

$\hookrightarrow \sf{2x + 1 = 169}$

$\hookrightarrow \sf{2x = 169 }$

$\hookrightarrow \sf{x = \dfrac{ \cancel{169}}{ \cancel2} }$

$\hookrightarrow \sf{x = 84}$

$\begin{gathered}{ \boxed{ \underline{ \mathsf{ \green{.°. The \: two \: consecutive \: numbers \: are \: 84 \: and \: 85}}}}} \end{gathered}$

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