The sum of two numbers is 27. the larger number is 3 more than the smaller number. what are the two numbers?

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

Substitute x = 12 in eqn 2

y = 3 + 12

Thus the two numbers are 12 and 15