Math, asked by chetancpatil5622, 1 year ago

If 1/3of number is 16 less than original number. Find number

Answers

Answered by abhi569
4

Let the required number is a,


According to the question,

= > 1 / 3 of a is 16 less than a

= > 1 / 3 x a = a - 16

= > a / 3 = a - 16

= >  a / 3 x 3 = 3 x ( a - 16 )

= > a = 3( a - 16 )

= > a = 3a - 48

= > a - a = 3a - a - 48

= > 0 = 2a - 48

= > 48 = 2a - 48 + 48

= > 48 = 2a

= > 48 / 2 = 2a / 2

= > 24 = a



Therefore the number required here is 24.


For verification :


1 / 3 of 24 = 1 / 3 x 24 = 8

24 - 16 = 8

Hence verified.


Therefore the number satisfying the given equation is 24.

Answered by Anonymous
2

 \huge  \bf\green{Hey  \: there !! }


Let the original number be x .


▶Now, A/Q

→ 1/3 of a number is 16 less than the original number.

=> ⅓ × x = x - 16 .

=> x/3 = x - 16 .

=> x = 3( x - 16 ) .

=> x = 3x - 48 .

=> 3x - x = 48 .

=> 2x = 48 .

=> x = 48/2 .

•°• x = 24.


 \bf \gray{Therefore,  \: the \:  original  \: number  \: is  \: 24 .}



✔✔ Hence, it is solved ✅✅.

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