Answer:
11 and 33
Explanation:
The the smaller number be
. Since the other number is 3 times as large as the other, we can represent the large number as
. Because they add up to 44, we have the following equation:
![x+3x=44](https://img.qammunity.org/2022/formulas/mathematics/college/4hxwr3m6x90i2ujqawl3iyetuucsjo1zyx.png)
Combine like terms:
![4x=44](https://img.qammunity.org/2022/formulas/mathematics/college/wfg0dykxnur7jywh73rcppmyieo56fk3h4.png)
Divide both sides by 4:
![x=(44)/(4)=\boxed{11}](https://img.qammunity.org/2022/formulas/mathematics/college/j7cg2i13g33umzm0dpqlojvysmjyac2pkz.png)
Substitute
into
to find the larger number:
![11\cdot 3=\boxed{33}](https://img.qammunity.org/2022/formulas/mathematics/college/rstlkl52vz837njxv70idau82ypa8out0y.png)
Therefore, the two numbers are 11 and 33.