The difference between two numbers is 86. Seven times the smaller is equal to 4 more than the larger. What are the numbers?
2 answers
15 and 101
X = Larger number.
Y = Smaller number.
Eq1: X-Y = 86.
x = y+86.
7y = x + 4.
Eq2: x - 7y = -4.
In Eq2, replace X with y+86:
y+86 - 7y = -4.
-6y = -90.
Y = 15.
x-15 = 86.
X = 101.
Y = Smaller number.
Eq1: X-Y = 86.
x = y+86.
7y = x + 4.
Eq2: x - 7y = -4.
In Eq2, replace X with y+86:
y+86 - 7y = -4.
-6y = -90.
Y = 15.
x-15 = 86.
X = 101.