The correct option is;
3·n – 15 + n = 101
Here we have, a question with a word problem
the equation stated is n + (3 × n - 15) = 101
We analyze each of the options to find the correct one as follows;
(a) 3·n – 15 + n = 101
The above equation is equivalent to the equation in the solution above hence it is correct
(b) 3·n + 15 + n = 101
Here 15 is added to 3 times n, therefore it is not correct
(c) 3·n – 15 – n = 101
Here n is subtracted from 3·n - 15 so it is in error
(d) 3·n + 15 – n = 101
Here also n is subtracted while 15 is added so it is not correct.
15 less than 3 times n is 3n - 15, thus
n + 3n - 15 = 101 ← equation modelling the situation
4n - 15 = 101 ( add 15 to both sides )
4n = 116 ( divide both sides by 4 )
n = 29
Option a and b both are correct.
We have been given the information that is: n is added to 15 less than 3 times itself.
The result is 101.
So, the number is 15 less than 3 times to itself means: 3n-15
And n is added to it that means:
And its result is 101 so,
After simplification of above expression gives:
Therefore, Option a and b both are correct.
Let the number be 'x'
According to the question,
A number is added to 15 less than 3 times itself.
So, x + (15 less than 3 times itself)
15 less than 3 times itself =
Now, x + (15 less than 3 times itself) =
We get the result as 101.
Therefore, it is the required equation used to evaluate the number 'x'.
A : 3n - 15 + n = 101
- We will denote a number as "n".
- The result of 3 times itself less 15 would be:
3*itself - 15
itself = n
3*n - 15
- Then a number "n" is added to the above result:
3*n - 15 + n.
- The result of above expression is 101:
3*n - 15 + n = 101
- Option A is the correct answer
4n-15 = 101
A number is n, when added to 15 less than 3 times itself result is 101.
As we are given number is = n
Three times itself = 3n
Then, 15 less than 3 times itself = 3n - 15
Now if we add n to 15 less than 3 times itself we get the result is 101. Now the expression will be
n + (3n-15) = 101
4n - 15 = 101