The difference between the two numbers is 5, and the difference between their squares is 65. The numbers are ______?
- 9 and 4
- 28 and 33
- 35 and 30
- 32 and 27
Explanation
Let's directly calculate:
x - y = 5
x² - y² = 65
(x + y)(x - y) = 65
(x + y)(5) = 65
x + y = 13
Solving these equations:
x - y = 5
x + y = 13
Adding both: 2x = 18
x = 9
y = 4
Let's check:
9 - 4 = 5
9² - 4² = 81 - 16 = 65
Related MCQs
- 10
- 15
- 20
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 18
- 17
- 16
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
