Answer :
we'll call the number x
one third of the number: 1/3x
fifteen less than five sixths of the number: 5/6x - 15
1/3x = 5/6x - 15
multiply both sides by three
x = 5/2x - 45
multiply both sides by 2
2x = 5x - 90
subtract 5x from both sides
-3x = -90
divide both sides by -3
x = 30
one third of the number: 1/3x
fifteen less than five sixths of the number: 5/6x - 15
1/3x = 5/6x - 15
multiply both sides by three
x = 5/2x - 45
multiply both sides by 2
2x = 5x - 90
subtract 5x from both sides
-3x = -90
divide both sides by -3
x = 30
1/3 times x = 5/6 times x -15
subtract 5/6 times x from both sides:
-1/2 times x=-15
divide by -1/2 on both sides
x=30
subtract 5/6 times x from both sides:
-1/2 times x=-15
divide by -1/2 on both sides
x=30
