Question

the sum of the digits of a two-digit number is 6. the number obtained by interchanging its digit is 18 more than the original number. find the original number.​

Answer 1

Answer:

Yes! The number 24 is the two digit number whose sum is 6 ,if we add 18 to it, it leads 42 which is the interchanged digits of the original number(24).

Step-by-step explanation:

hope it helps you

Answer 2

Let the unit digit be x and tens digit be y.

x + y=6

Number = 10y+x

Number after reversing the digits = 10x+y

Given,

10x+y-(10y+x)=18

10x+y-10y-x=18

9x-9y=18 = 9(x-y)=18

x-y=2 Eq2

Adding Eq1 and Eq2

x+y+x-y=6+2

2x=8

x=4

x+y=6

y = 2