Answer:
larger number is 6 and smaller number is 1.
Explanation:
Let x be larger number and y be the smaller number
x-y=5 (difference of numbers is 5)
3x+2y=20 (3 times larger number+2 times the smaller number is 20)
Multiply x-y=5 by 2
2(x-y)=2*5
2x-2y=10
Solve both equations by elimination/add equations.
3x+2y=20
2x-2y=10
———————-
5x-0=30
x=30/5=6
Substitute x=6 in x-y=6 to get the value of y
6-y=5
y=6-5=1
So, larger number is 6 and smaller number is 1.
You check your answer by substituting the values of x and y in the equations and checking if it is a solution of the equation.