Answer: 10 and 23
Explanation:
Let the first number be x and the second number be y.
Also , let x be the bigger number and y the smaller number.
From the first statement;
x + y = 33 ............................. equation 1
From the second statement
twice the smaller number = 2y
so, if the bigger number is 3 more than two times the smaller number, this means that
x = 2y + 3 .................................... equation 2
Solving the resulting linear equations by substitution method .
substitute x = 2y + 3 into equation 1 , that is
x + y = 33 becomes :
2y + 3 + y = 33
3y + 3 = 33
3y = 30
y = 10
Substitute y = 10 into equation 2 , that is
x = 2y + 3 becomes
x = 2(10) + 3
x = 20 + 3
x = 23