Answer:
The numbers are 10 and 139.
Explanation:
Assuming you have two numbers you need to search for, let's label them as x and y.
x is 19 more than 12 times y. We can rearrange this to be x = 19 + 12y. This will be our first equation. It is then stated that their sums, or x + y, is equal to 149. We have two equations now:
- x = 19 + 12y
- x + y = 149
Because x is already separated, we can plug equation (1) into equation (2).
(19 + 12y) + y = 149
Because there is nothing in the parentheses that we can combine, we can remove them and begin combining like terms.
19 + 12y + y = 149
19 + 13y = 149
We subtract 19 from both sides to begin to isolate the variable y.
13y = 130
y = 10
Because we have obtained y, we can plug it back into equation (2) to obtain x.
x + y = 149
x + (10) = 149
x = 139