Question 992636
The sum of two numbers is 78. If three times the small number is subtracted from the larger number, the result is 14. Find the two numbers.

X+Y=78 , Equation 1
X-3Y=14 , Equation 2

Equation 1-Equation 2 
(X+Y=78) - (X-3Y=14)

X+Y)-(X-3Y) = 78)-(14)
X+Y-X+3Y = 78-14
4Y = 64
Y= 16

X+Y=78
78-Y=X
78-16=X
X=62

X=62 Y=16