Question

the differene between two numbers is 12. eight times the larger number is 20 times the smaller number. write a system of equations describing the given condition. then solve the system by substitution method and find the two numbers.

Answer 1

x - y = 12......x = 12 + y
8x = 20y

8(12 + y) = 20y
96 + 8y = 20y
96 = 20y - 8y
96 = 12y
96/12 = y
8 = y <=== ur smaller number

x - y = 12
x - 8 = 12
x = 12 + 8
x = 20 <== ur larger number