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

Answer:

Step-by-step explanation:

The 2 equations are

(1) x-y=3

(2)( 10x+y)+(10y+x)= 143

Answer 2

Answer:

85

Step-by-step explanation:

Let x and y be the digits of the two digit number. The number is 10x+y.

Digits of a two digit number differ by 3 => x - y = 3   =====> Equation 1

Digits are interchanged and the resulting number is added to the original number we get 143

=> (10y+x) + (10x + y) = 143

=> 11x + 11y = 143

=> x + y = 13 ==========> Equation 2.

Solve Equation 1 and 2 by adding the equations.

x - y = 3

x + y = 13

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2x = 16 => x = 8.

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Substitute the value of x in equation 1.

x - y = 3 => 8 - y = 3=> y = 5.

The original number is 85.