The sum of the digits of 2 number is 2/5 of the difference between the number and the number obtained by place changing theposition of the particular digits, what is exact difference between the particular digits of the number?
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Given The sum of the digits of 2 number is 2/5 of the difference between the number and the number obtained by place changing the position of the particular digits, what is exact difference between the particular digits of the number?
- Now let the tens digit be a and units digit be b.
- So a + b = 2/5 (difference between the number)
- So we have 10 a + b and the digits are exchanged
- So a + b = 2/5 (10 a + b – (10 b + a) (since ba will be 10b + a)
- = 2/5 (10a + b – 10b – a)
- So 5(a + b) = 20a + 2b – 20b – 2a
- So 5a + 5b = 18a – 18b
- So 5b + 18b = 18a – 5a
- So 23 b = 13 a
- Or a/b = 23 / 13
- It is a non reduce able fraction and so a = 23 and b = 13
- So a + b = 23 + 13
- = 36
Reference link will be
https://brainly.in/question/14549456
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Answer:
A+B=23+13
=36. Hope it helps you
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