A number consists of three digits, 9,5 and another. If these digits are reversed and then subtracted from

Mathematics

2 answers:

JulsSmile [24]2 years ago

7 0

Answer:

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Lubov Fominskaja [6]2 years ago

4 0

There are 6 ways of arranging 9,5 and n.
Two have been used so the answer must be one of 59n, n95, 9n5 and 5n9
I will show one wrong and then the correct answer

95n - n59 = 5n9
950 + n - 100n - 59 = 509 + 10n
891 - 99n = 509 + 10n
382 = 109n
n = 382/109 wrong

95n - n59 = n95
950 + n - 100n - 59 = 100n + 95
891 - 99n = 100n + 95
796 = 199n
n = 796/199 = 4

So 954 - 459 = 495

The other digit is 4

You might be interested in

Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL

drek231 [11]

The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML. Then, FM + ML = FL

FM

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = $\frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}$