Question

When a two digit number is multiplied by 9 , it becomes 2 time of the number that is obtained by interchanging the digits. If the difference of the digit is 7. find the number.....

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Answer 1

Let the tens place digit be a

And unit place digit be b

According to first condition,

b - a = 7 -------(1)

According to second condition,

9 (10a + b) = 2 ( 10b + a)

=> 90a + 9b = 20b + 2a

=> 88a = 11b

=> b = 8a

On substituting the value of b in equation 1, we get

8a - a = 7

=> 7a = 7

=> a = 1

b = 8 × 1

=> b = 8

Required number = 18