Math, asked by arawranjanpbeqs3, 1 year ago

a number when added to its two third is equal to 55 find the number.

Answers

Answered by fiercespartan
14
Hey there!

Let us take number as 'x '

When number is added to it's 2/3 it will make 55

x + ( 2x / 3 ) = 55

If we take LCM,

5x / 3 = 55

5x = ( 55 ) ( 3 )

x = ( 55 ) ( 3 ) / ( 5 )

x = ( 11 ) ( 3 )

x = 33

The number is 33

Hope my answer helps!

#BeBrainly

@sid071
Answered by abhi569
12

 \mathbf{Let  \:  \: the  \:  \: required \:  \:  number \:  \:  is  \:  \: K, } \\  \\ <br /> \textbf{ Given,  \: When \:  \: added  \:  \: to \:  \:  its \:  \:  two - third  \:  \: it \:  \:  becomes \:  \:  equal  \:  \: to \:  \:  5 5}

,



According to the question :


 \mathbf{ ( \frac{2}{3} \: of \: \:  K)  + K = 55} \\  \\  \\  =&gt;  (\frac{2}{3}  \times K ) + K = 55 \\  \\  \\  =  &gt;  \frac{2K}{3}  + K = 55 \\  \\   \\ =&gt;  \frac{2K +3K}{3}  = 55  \\  \\  \\  =&gt;  \frac{5K}{3}  = 55 \\  \\  \\  = &gt; K =  \frac{55 \times 3}{5}  \\  \\  \\  =  &gt; K = 11 \times 3 \\  \\  \\  = &gt; K = 33




Required number is 33
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