## The Sum of the digits of a two digit number is 7 the number obtained by interchanging the digits escceeds the mber by 27. Fi

Question

The Sum of the digits of
a two digit number is 7 the
number obtained by interchanging the digits escceeds the
mber by 27. Find the number.​

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1 month 2021-08-16T21:30:02+00:00 1 Answer 0 views 0

1. ## CORRECTQUESTION.

The sum of the digit of two dijit number is 7

the number obtained by interchange the digit

exceed the original number by 27. find the

number

### EXPLANATION.

• GIVEN

Let the digit of ones place be = x

digit at tens place = y

so,

original number is = 10y + x

Sum of two digit number = 7

x + y = 7 …. (1)

the number obtained by interchange the

digit exceed the original number = 27

10x + y = 10y + x + 27

9x – 9y = 27

x – y = 3 ….. (2)

from equation (1) and (2)

we get,

2x = 10

x = 5

put the value of x = 5 in equation (1)

we get,

x + y = 7

5 + y = 7

y = 2

So, original number = 10y + x

10 (2) + 5

20 + 5 = 25

Thus the number is = 25