The difference of 2 positive numbers is 54. The quotient obtained on dividing the 1 by the other is 4. Find the numbers.
Let the numbers be x and y. We have:
Let the numbers be x and y. We have:
- x - y = 54
- x/y = 4
- Cross multiply x/y = 4 to get x = 4y
- Now substitute x = 4y into the first equation
- (4y) - y = 54
- 3y = 54
- Divide each side by 3
- y = 18
- If x = 4y, then x = 4(18)
- x = 72