a number is 3 less than three times another number and their sum is 19 then find the numbers
Answers
Step-by-step explanation:
let "X" represent one of the numbers, and let "Y" represent the other number. From the problem statement, we can form two equations.
X = 3Y - 3 (1)
and
X + Y + 6 = 19 (2)
From equation (1), we can substitute "3Y-3" for "X" in equation (2); and we get
3Y - 3 + Y + 6 = 19
Simplifying the left side of the equation, we see that
4Y + 3 = 19
Subtracting "3" from both sides of the equation
4Y = 16
And we solve for "Y" by dividing both sides of the equation by "4"
Y = 4
Substituting "4" for "Y" in equation (1), we get
X = 3(4) - 3
or
X = 12 - 3 = 9
So, the numbers that you are looking for are 4 and 9.