The difference between two numbers is 2. 3 times the larger number plus 1 half the smaller is 34. What is the equaution?
let the smaller be x
then the larger is x+2
3(x+2) + (1/2)x = 34
3x + 6 + (1/2)x = 34
multiply each term by 2
6x + 12 + x = 68
7x = 56
x = 8
state your conclusion
To find the equation that represents the given information, let's assign variables to the unknown numbers. Let's call the larger number "x" and the smaller number "y".
From the given information, we can write two equations:
1) "The difference between two numbers is 2":
x - y = 2
2) "3 times the larger number plus 1 half the smaller is 34":
3x + (1/2)y = 34
Therefore, the equation representing the given information is:
x - y = 2
3x + (1/2)y = 34