The number is 4.
Given,
A certain number is 11 less than three times the next number.
We have to find the number.
Let the certain number be M and the next number be M+1.
We have,
A certain number is 11 less than three times the next number.
M = 3(M+1) - 11
M = 3M + 3 - 11
Adding 11 on both sides.
We have,
M + 11 = 3M + 3 - 11 + 11
M + 11 = 3M + 3
Keeping like terms on one side.
11 - 3 = 3M - M
8 = 2M
2M = 8
M = 8/2
M = 4.
We can also crosscheck.
M = 4 and M+1 = 5
Now,
M = 3(M+1) - 11
4 = 3 ( 4 + 1 ) - 11
4 = 3 x 5 - 11
4 = 15 - 11
4 = 4
Thus the number is 4.
Learn more about finding numbers word problems here:
https://brainly.com/question/88431
#SPJ2
