Question

the sum of the digits of two digits number is 7 when the places of the digit are interchanged the new nmber so formed will be 9more than privious one

Answer 1

Step-by-step explanation:

6+1=7

when we interchange

6and1

It will 16

Answer 2

let the first number be x and second number be y

x+y=7

x = 7 - y equation no. 1

xy=10*x+y

REASON :- example - 23 = 20+3 = 2*10+3

interchange :- yx = 10*y + x

xy + 9 = yx

10*x + y +9 =10*y + x

10x + y +9 = 10y + x

from equation no 1 put value of x

10*(7-y) +y +9 = 10y +(7-y)

(70 - 10y) +y + 9 = 10y + 7 - y

70 - 9y + 9 = 9y +7

79 - 9y = 9y + 7

79 - 7 = 9y +9y

72 = 18 y

72/18 = y

4 = y

put y = 4 in equation no. 1

x = 7 - y = 7-4 = 3

number = xy = 34

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