Answer:
The numbers are:
Explanation:
Let 'x' be the smaller number
As the lager of two numbers is 15 more than three times the smaller. so,
The larger number = 3x+15
As the sum of the two numbers is 63, so the equation becomes
![x + 3x + 15 = 63](https://img.qammunity.org/2021/formulas/mathematics/high-school/f27r5g9birzly35qzls478fblh6l631c3q.png)
![x+3x=63-15](https://img.qammunity.org/2021/formulas/mathematics/high-school/gj2ryfpmvm4l7w7trtk1l5q7autzc3q0m7.png)
![4x=48](https://img.qammunity.org/2021/formulas/mathematics/college/6u91zv54aifp3qm3coqtst0afavup5s5zy.png)
Divide both sides of the equation by
![(4x)/(4)=(48)/(4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/lxt1k7flkhcr98r3zllkf9xiago05cy9l0.png)
![x = 12](https://img.qammunity.org/2021/formulas/mathematics/high-school/585tdx4jizj0hgwm6l105rlaurx7sdkq3u.png)
Therefore,
The smaller number = x = 12
The larger number = 3x+15 = 3(12) + 15 = 36+15 = 51
Hence, the numbers are: