Answer:
greater = x = 159
smaller = y = 20
Step-by-step explanation:
Let:
Number 1 = x (greater)
Number 2 = y (smaller)
Now according to given conditions:
x = 8y -1 ................. eq 1
x + y = 179 ................ eq 2
By taking eq 1:
x = 8y -1
Subtracting 8y from both sides:
x - 8y = 8y -8y -1
after cancellation of same terms with opposite signs
x - 8y = -1 .................... eq 3
Subtracting eq 3 from eq 2
(x + y) - (x - 8y)= 179 - (-1)
As "-" into "-" gives "+"
x + y - x + 8y = 179 + 1
after cancellation of same terms with opposite signs and adding same terms:
9y = 180
Dividing both sides by 9 we get
y = 180/9
y = 20
Putting value of y in eq 2 we get:
x + y = 179
x + 20 = 179
Subtracting 20 from both sides
x = 179 - 29
x = 159
So the numbers are:
greater = x = 159
smaller = y = 20
I hope it will help you!
