Answer:
bigger number is 18
smaller number is 6
Step-by-step explanation:
let x be the bigger number and y the smaller
the sum of two numbers is the same as four times the smaller
x+y=4y
x=4y-y
x=3y--------i
if twice the larger is decreased by the smaller, the result is 30
2x-y=30----ii
substituting i for x in ii
2(3y)-y=30
6y-y=30
therefore
5y=30
y=30/5
y=6------iii
substituting iii for y in i to solve for x gives
x=3*6
=18
