दो अंको की संख्या के अंकों का योग 8 है यदि संख्या के अंकों के क्रम को उलट देने पर प्राप्त हुई संख्या पहली संख्या से 18 कम हो जाती है संख्या ज्ञात कीजिए
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Step-by-step explanation:
question in english
The sum of the digits of the two-digit number is 8 if the number obtained by reversing the order of the digits of the number is reduced by 18 from the first number. Find the number.
answer in english
I am assuming you are a school student, hence I will try a very basic approach.
So the first thing is what does a two digit number look like?
Any two digit number can be written in the form 10x+y
In this particular case, you have your x+y=8−−−(1)
After reversing, our number becomes 10y+x
Now note that the difference between the number and that formed by reversing the digits is 18 so:
(10x+y)−(10y+x)=18
=> 10x+y−10y−x=18
=> 9x−9y=18
=> x−y=2−−−−(2)
So now you have two equations (1) and (2)
Simply add them :D
x−y=2
x+y=8
=>2x=10
=> x=5
So just plug in your x into any of the equations and you get the value of y
I, for instance am taking eq (1)
so we have,
x+y=8
=> 5 +y=8
=> y=3
So the number is :
(10∗5)+3=53
Hope this helped. :)
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