Math, asked by Aditi1111111, 1 year ago

one third of a number is 10 less than the orignal number than find the number

Answers

Answered by adityavarman
2
Greetings,
The answer to your question is typed below ^
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Let the unknown number be x ;

As per the statement:

1/3 x - 10 = x
 ........... (i)

⇒1/3 x - x = 10
⇒(1x - 3x) ÷ 3 =10
⇒ -2x = 30
⇒ x = -30/2
⇒ x = -15
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we can cross check by substituting the number (x) in equation (i).

∴ (1/3 * -15) - 10 = -15
⇒ -5 -10 = -15
⇒ -15 = -15  (Proved)
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∴ We conclude that the unknown number (x) = -15
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P.S : Enjoy ;)
Answered by Sauron
3

Answer:

The Number is 15.

Step-by-step explanation:

Given :

One third of the Number = 10 less than the original number

To Find :

The Number

Solution :

Let the Number be as x

➠ 1/3 of x = x - 10

➠ (1/3)x = x - 10

➠ x/3 - x = - 10

➠ (x - 3x)/3 = - 10

➠ -2x/3 = - 10

➠ - 2x = - 10 × 3

➠ - 2x = - 30

➠ x = 30/2

➠ x = 15

\therefore The Number is 15.

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