Question

The sum of digits number is 11 if the digits are interchanged and the new number is subtracted from the original number, we get 9 what can be the original number?

Answer 1

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The sum of digits number is 11 if the digits are interchanged and the new number is subtracted from the original number, we get 9 what can be the original number?

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The answer of this question is 65.

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Given:-

Sum of digits = 11

Difference of Original number and The reversed number = 9

To Find:

The original number.

Concept:-

• a + b = 11
• let the two digit number be 10a+ b

and number obtained on reversing the digits

is 10b+ a

ATQ 10a + b -(10b+a) = 9

= 9a - 9b = 9

9(a-b) = 9

a-b = 1

Calculation:

Putting the two equations together,we get

a + b = 11

a - b = 1. ( By adding )

—————

2a = 12

a = 6

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Putting the value in the equation 1

= 6 + b = 11

b = 11

so the two digit number is 10a + b

= 10 × 6 + 5

= 60 + 5.

hope it helps you

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Answer 2

Answer:

I hope the above answer helps you