Question

The sum of two digits of a two-digit number is 8. When the digits are interchanged the number is reduced by 18. Represent the given situation in the form of two Linear Equations.​

Answer 1

${\huge {\mathfrak {Answer :-}}}$

➡️ One's place = x.

Tens place = y.

➡️ Given, x + y = 8.

Or, y = 8 - x.

➡️ And we have,

10x + y - 18 = 10y + x.

Or, 9x - 9y = 18.

Or, 9x - 72 + 9x = 18.

Or, 18x = 90.

Or, x = 5.

And y = 8 - 5 = 3.

➡️ Hence, the number is

= 10(5) + 3.

= 50 + 3 = 53.

That's it..

Answer 2

Answer:

Step-by-step explanation: