If the sum of three digit number and the number obtained by reversing the order of the digit is 1232, then find the ten digit of the number?
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the number is781
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If the sum of three digit number and the number obtained by reversing the order of the digit is 1232, then the tenths digit of the number is 1.
- Let the three digit number be xyz.
- Therefore, on reversing the order of the digits, the number will be zyx.
- It is given in the question that xyz + zyx = 1232.
- Hence, we can infer that z+x = 2, 2y = 3 and x+z = 12.
- But, it is not possible to have different values of x+z.
- Therefore, x+z is actually equal to 12 and the 1 gets carry over.
⇒ 1 + 2y = 3
⇒ y = 1
Therefore, the tenths digit is equal to 1.
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