The digits of a two-digit number differ by 3. If the digits are interc

1.	The digits of a two-digit number differ by 3. If the digits are interchanged and theresulting number is added to the original number, we get 143. What can be the originalnumber?it is
Answer» Answer: 85 Step-by-step explanation: let TWO DIGIT number be xy, that means 10x+y, given,x-y = 3,----->eqn(1) also given that, if the digits are interchanged and the resulting number is added to the original number, we GET 143, i.e, yx + xy = 143, that means, (10y+x) + ( 10*x+y) = 143, =>11y+11x = 143, from eqn(1), => 11y+11(y+3) = 143, => 22y + 33 = 143, => 22y = 110, => y = 5, and x=8, therefore, the original number is 85. verification: 58+85 = 143. Hope it helps u....

The digits of a two-digit number differ by 3. If the digits are interchanged and theresulting number is added to the original number, we get 143. What can be the originalnumber?it is

Answer»

Answer:

Step-by-step explanation:

let TWO DIGIT number be xy,

that means 10*x+y,

given,x-y = 3,----->eqn(1)

also given that,

if the digits are interchanged and the

resulting number is added to the original number, we GET 143,

i.e,

yx + xy = 143,

that means,

(10*y+x) + ( 10*x+y) = 143,

=>11y+11x = 143,

from eqn(1),

=> 11y+11(y+3) = 143,

=> 22y + 33 = 143,

=> 22y = 110,

=> y = 5,

and x=8,

therefore,

the original number is 85.

verification:

58+85 = 143.

Hope it helps u....