Question

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

Answer 1

EXPLANATION.

• GIVEN

Let we assume that x be tens digit place

Let you be unit digit place of two digit number

the digit of the two digit number differ by = 3

x - y = 3 .....(1)

if digit interchange and the resulting number

is added to the original number = 143

let two digit number = 10x + y

interchange digit = 10y + x

10x + y + 10y + x = 143

11x + 11y = 143

x + y = 13 .....(2)

From equation (1) and (2)

we get,

2x = 16

x = 8

put x = 8 in equation (2)

we get,

8 + y = 13

y = 5

Therefore,

Two digit number = 10x + y

10(8) + 5

80 + 5 = 85

Two digit number = 85