
Amanda K. answered 12/07/21
Certified and Experienced Elementary and Special Education Teacher
The larger of two numbers is 15 more than three times the smaller number if the sum of the two numbers is 63 find both numbers
Let's use x and to represent our two numbers.
x is the larger number and y is the smaller number
We know the sum of the two numbers is 63. We can write this as x+y=63
the larger number is 15 more than 3 times the smaller number. We can write this as follows:
x=3y+15
Now we have a system of equations:
x+y=63
x=3y+15
We can solve this using substitution. Plug the bottom equation into the top equation. So you would have:
3y+15+y=63
Solve for y by combining like terms and doing the order of operations. Once you have your "y" value, plug that number into the top equation and solve for x.
Alan V.
3y+15+y=6302/08/23