# The sum of the digits of a two number is 12,and the difference between the number and that formed by reversing the digits is 36. find out numbers.

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by nickypandey

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by nickypandey

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Let us say the number is AB

Its value is 10A + B

Given A+B = 12 --- equation 1

AB - BA = 36 that means 10A+B - (10B+A) = 36

9 A - 9 B = 36

A - B = 4 equation 2

Now add equation 1 and equation 2

2 A +B - B = 12+4 = 16

So A = 8 Using equation1, we find B = 4

Given number is 84 and reverse number is 48

Its value is 10A + B

Given A+B = 12 --- equation 1

AB - BA = 36 that means 10A+B - (10B+A) = 36

9 A - 9 B = 36

A - B = 4 equation 2

Now add equation 1 and equation 2

2 A +B - B = 12+4 = 16

So A = 8 Using equation1, we find B = 4

Given number is 84 and reverse number is 48