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The sum of digits of two …

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The sum of digits of two digit number is 7.the number obtained by interchanging the digit exceeds the original number by 27.What is the original number?

Posted by Sreya Mariya 5 years ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years ago

let digit at ones place=x and

digit at tens place=y

So, the number will be 10y+x

x+y=7 ....(1)

reverse digit will be represented as, 10x+y

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

9x-9y=27

x-y=3 ....(2)

Adding equation (1) and (2)

2x=10

x=5

substituting in equation (1)

y=7-5

Thus, the number will be 25

1Thank You

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Posted by Monika 8B 5 months, 2 weeks ago

CBSE > Class 08 > Mathematics