The two numbers are 12 and 15
Solution:
Let the smaller number be "x"
Let the larger number be "y"
Given that,
The sum of two numbers is 27
Therefore, we frame a equation as:
Smaller number + Larger number = 27
x + y = 27 ------ eqn 1
The larger number is 3 more than the smaller number
Larger number = 3 + smaller number
y = 3 + x ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
x + 3 + x = 27
2x + 3 = 27
2x = 27 - 3
2x = 24
x = 12
Substitute x = 12 in eqn 2
y = 3 + 12
y = 15
Thus the two numbers are 12 and 15