Let x be the smaller
number and y be the larger number. Then,
x + y =
124
3x = y +
12
First
equation can be transformed as x = 124 - y.
Substituting
this to the second equation, we have,
3(124 -
y) = y + 12
372 - 3y
= y + 12
-3y - y =
12 - 372
-4y = -360
y = 90
Substituting
the value of y to either of the two equations, we have,
x + y =
124
x + 90 =
124
x = 124 -
90
x = 34
Therefore, the two numbers are 34 and 90.
- D.E.