SOLUTION: The difference of two numbers is 87. The larger number is 13 more than triple the smaller number. A) Create let statements to define two variables. B) Crate a system of two equ

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The difference of two numbers is 87. The larger number is 13 more than triple the smaller number. A) Create let statements to define two variables. B) Crate a system of two equ      Log On


   



Question 1084470: The difference of two numbers is 87. The larger number is 13 more than triple the smaller number.
A) Create let statements to define two variables.
B) Crate a system of two equations using the variables you defined in 6a.
C) Solve the system of equations you created in 6b, using the method of your choice.
D) What is the sum of the two numbers?
E) What is the product of the two numbers?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x-y=87; that makes x greater than y, so let x=the larger number and y the smaller number.
x=3y+13
substitute
3y+13-y=87
2y=74
y=37
x=124
sum is 161
product is 4588.