The difference between two numbers is 34. The larger exceeds 3 times the smaller by 4. Find the numbers . Use let statements
(3x+4)-x=34
3x-x+4=34
2x+4=34
-4 -4
2x=30
divide both sides by 2
x=15
To solve this problem using let statements, let's assume the smaller number is represented by "x".
According to the problem, the larger number exceeds 3 times the smaller number by 4. Therefore, we can represent the larger number as "3x + 4".
It is also given that the difference between the two numbers is 34. So, using the assumption we made earlier, we can set up the equation:
(3x + 4) - x = 34
To solve this equation, let's simplify it:
2x + 4 = 34
Next, we can subtract 4 from both sides to isolate the term with x:
2x = 30
Now, divide both sides of the equation by 2 to solve for x:
x = 15
Therefore, the smaller number is 15.
To find the larger number, substitute the value of x back into our original assumption:
Larger number = 3x + 4 = 3(15) + 4 = 45 + 4 = 49
So, the larger number is 49.
Let x = smaller number, then 3x+4 = larger.
(3x+4) - x = 34
Solve for x.
(3x+4)-x=34
3x-x+4=34
2x+4=34
-4 -4
2x=30
divide both sides by 2
x=30