Question

the sum of two numbers is 101. if there times the smaller number is subtracted from the larger number the result is 9. find the two numbers

Answer 1

x+y=101
y-3x=9

Solve the second equationf or y
y=3x+9

Substitute for y
x+3x+9=101
4x+9=101
4x=92
x=23

Fill in the x value
23+y=101
y=78

Final answer: 23, 78