Question

the difference between a two digit number and number obtained byy interchange 36 what is the difference between the sum and difference of the digit of the sum between the digit of the number is 1:2?​

Answer 1

The sum is 12 and difference is 4y

The new number obtained by interchanging the digit = yx=10y+x

Now, given the difference between the above two is 36

⇒ (10x+y)-(10y+x)=36

⇒ 10x-x-10y+y=36

⇒ 9x-9y=36

⇒ x-y=4

Also, given ratio is 1:2

⇒ $\frac{y}{x}$=$\frac{1}{2}$

⇒ x=2y

x-y=4 ⇒ 2y-y=4 ⇒ y=4

Hence, x=2(4)=8

Hence, the sum is x+y=8+4=12

The difference is x-y=8-4=4