Answer :
Answer: The numbers are 71 and 15.
Explanation:
Let x = the first number
Let y = the second number
From what they give us, we know:
x - y = 56
5y = x + 4
Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.
5y = x + 4
5y - 4 = x or x = 5y - 4
x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15
To find the other variable (number), substitute that value in either equation.
x - y = 56
x - 15 = 56
x = 71
To check the solutions, substitute both variables into each equation to make sure they work.
x - y = 56
71 - 15 = 56
56 = 56
5y = x + 4
5*15 = 71 + 4
75 = 75
Explanation:
Let x = the first number
Let y = the second number
From what they give us, we know:
x - y = 56
5y = x + 4
Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.
5y = x + 4
5y - 4 = x or x = 5y - 4
x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15
To find the other variable (number), substitute that value in either equation.
x - y = 56
x - 15 = 56
x = 71
To check the solutions, substitute both variables into each equation to make sure they work.
x - y = 56
71 - 15 = 56
56 = 56
5y = x + 4
5*15 = 71 + 4
75 = 75