The smaller number = 12
The larger number = 51
Explanations:Let the larger number be y
Let the smaller number be x
The larger number is 15 more than three times the smaller number
y = 3x + 15.....................................(1)
The sum of the two numbers is 63
x + y = 63.....................................(2)
Substitute equation (1) into equation (2)
x + 3x + 15 = 63
4x + 15 = 63
4x = 63 - 15
4x = 48
x = 48/4
x = 12
Substitute the value of x into equation (1)
y = 3(12) + 15
y = 36 + 15
y = 51
Therefore:
The smaller number = 12
The larger number = 51
