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  • A number of two digits is such that the sum of the digits is 11, and the number is 27 greater that the number obtained by reversing the digits. Find the number.

A number of two digits is such that the sum of the digits is 11, and the number is 27 greater that the number obtained by reversing the digits. Find the number.

Answers (1)

Assume the number is ab.

ATQ 

a + b=11 ...(i)

ab - ba = 27

10a + b - 10b -a = 27

9(a-b) = 27

a-b = 3 ...(ii)

Equation (i) + equation (ii)

2a = 14

a =7

b = 4

So the required number is = 74. 

Posted by

Ravindra Pindel

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