## The sum of the digits of a 2-digit number is 7. The number obtained by interchanging the digits exceeds the original number by 27. Fi

Question

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## Answers ( )

Answer:

The no. Is 25

Step-by-step explanation:

Let the digit at tens place be x

and at the unit place by y

So, number is (10x+y)

ATQ,

x + y = 7 ———-(1)

And

10y + x = 10x + y +27

=> 9y -9x = 27

=> y – x = 3 ——–(2)

Solving equation (1) and (2)

We get

y = x + 3 ————(3) [from equation 2]

Putting value of y in equation 1

x + (x + 3) = 7

=> 2x + 3 = 7

=> 2x = 4

=> x = 2

and

y = x + 3 = 2 + 3= 5

So, the number is 10x + y

= 10(2) + 5

= 20 + 5

= 25

Number is 25