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Sum of two digits of a …

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Sum of two digits of a two digit number is 9when we interchange the digits ,it is found that the resulting new number is greater than the original number by 27.what is the two digit number

Posted by Jasbir Kaur 5 years, 11 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 11 months ago

Let the digits be x and y.

Then, x+y = 9

the original number is 10x+y.

On reversing, we get the new number as 10y+x

The new number is greater than the old number by 27, i.e.

(10y+x) - (10x+y) = 27

or 9y-9x = 27, or y-x = 3

and x+y = 9

Adding the two equations, we get 2y = 12 or y = 6.

Thus, x = 3.

Therefore, the original number is 36.

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Posted by Monika 8B 5 months, 3 weeks ago

CBSE > Class 08 > Mathematics