Question

If the sum of two numbers is 15 and their quotient is 4, what are they?

Answer 1

3, 12

Explanation:

"x" is the larger number,

"y" is the smaller number.

Given

x + y = 15

x / y = 4

manipulate the equations for the problem

x / y = 4

*y *y

x = 4y

solve the system of equations by the methord of substitution:

x + y =15

4y + y = 15

5y = 15

y = 3

Subsitute back into the equations given.

x = 4y

x = 12