Let the two numbers be a and b. Then ab = 100 and thus b = 100/a, and a + b = 49.
Substituting for b in the second identity gives : a + 100/a = 49
Multiplying throughout by a produces : a2 + 100 = 49a
Re-arranging into standard quadratic form this becomes : a2 - 49a + 100 = 0.
This can be solved using the quadratic formula or by completing the square.
Let's complete the square.
(a - 24.5)2 - 500.25 = 0
(a - 24.5)2 = 500.25
a - 24.5 = √500.25 ≈ ± 22.366
a = 24.5 ± 22.366
Then a = 46.866 and 2.134.............which gives the two numbers required to solve this problem.
249
849
7x7=49
It is: 7 times 7 equals 49
± 2.645751^4 = 49
seven times seven equals 49 ..
49
-7 x 7 = -49
49 centimeters is equal to 0.49 meters. You can convert centimeters to meters by dividing by 100 since there are 100 centimeters in 1 meter.
12.25 x 4 = 49
Well, isn't that a happy little math problem! If you take a moment to think about it, you'll see that 7 times what number equals 49? That's right, it's 7! So, 7 times 7 equals 49. Just like painting a beautiful landscape, sometimes all it takes is a little patience and a gentle touch to find the answer you're looking for.
49/100 is less than 0.5 but 50/100 equals 0.5