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The sum of digits of a …

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The sum of digits of a two digit number is 11. The number obtained by inter changing the order of digits exceeds the original number by 63. Find the number using substitution method.

Posted by Koustubh Singh 8 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Payal Singh 8 years, 1 month ago

Let ones place digit = x

Tens place digit = y

Then number = 10y+x

After interchanging digit,

Ones place digit = y

Tens place digit = x

Then new number = 10x+y

According to question

x+y = 11 ......(1)

Also

=> 10x+y = 10y+x+63

=> 9x-9y = 63

=> x-y = 7 .....(2)

Add (1) and (2)

=> 2x = 18

=> x = 9

From (2)

=> 9-y = 7

=> y = 2

So number is = 10*2+9 = 29

0Thank You

ANSWER

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