one third of a number is 10 less than the orignal number than find the number
Answers
Answered by
2
Greetings,
The answer to your question is typed below ^
_____________________________________________________________
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
_____________________________________________________________
we can cross check by substituting the number (x) in equation (i).
∴ (1/3 * -15) - 10 = -15
⇒ -5 -10 = -15
⇒ -15 = -15 (Proved)
_____________________________________________________________
∴ We conclude that the unknown number (x) = -15
_____________________________________________________________
P.S : Enjoy ;)
The answer to your question is typed below ^
_____________________________________________________________
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
_____________________________________________________________
we can cross check by substituting the number (x) in equation (i).
∴ (1/3 * -15) - 10 = -15
⇒ -5 -10 = -15
⇒ -15 = -15 (Proved)
_____________________________________________________________
∴ We conclude that the unknown number (x) = -15
_____________________________________________________________
P.S : Enjoy ;)
Answered by
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
The Number is 15.
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