please tell me the answer of these two questions
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please tell me the answer of these two questions
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Answer:
this is very long questions
Hiiiii
Your answer is
Number is AB.
A+B = 13
(10B + A) - (10A + B) = 9 or 9B - 9A = 9 or 9(B - A) = 9 or
B - A = 1 and
A + B = 13 Combining
2B = 14
B = 7
A = 13 - 7 = 6
The number is 67
Nox X/10 is 2 and X is 20. Y is 7.
So X + Y = 20 + 7 = 27
Now, if you want to interchange the digits, the X will be at the units place and the Y will be at tens place.
So we will write it as : (Y * 10) + (X / 10)………………………….(2)
Now (Y * 10) + (X / 10) = (7 * 10) + (20 / 10) = 70 + 2 = 72.
Now, in your question, you said that the difference between the a digit number(i.e. X + Y) and the number formed by interchanging the digits(i.e. (Y * 10) + (X / 10)) is 63.
So therefore,
[X + Y] - [(Y * 10) + (X / 10)] = 63………………………………….(3)
[X - (X / 10)] + [Y - (Y * 10)] = 63
[9X / 10] + [9Y / 10] = 63
[9 * (X + Y)] / 10 = 63.
9 * (X + Y) = 63 * 10 = 630
X + Y = 630 / 9
X + Y = 70.
If you write it as:
X + Y = 70 + 0
X = 70, Y = 0
Now Substitute the same into third equation
[70 + 0] - [(0 * 10) + (70 / 10)] = 63
70 - [0 + 7] = 63
70 - 7 = 63
63 = 63.
So X and Y are verified.
Now answering your main question:
difference between the digits of the number = (X/10) - Y = (70/10) - 0 = 7 - 0 = 7.
So 7 is the answer
Hope it will help you