Q3 of 58 Page 44

Let us express the following statements into simultaneous linear equations:

The tens place digit is twice of the units place digit of a two - digit number. If the digits interchange their places, the resulted number will be 27 less than the original number.

Let unit digit is and tens place digit is y.


Two Digit number is = 10y + x


Given Tens place digit is twice of the unit place digit,


⇒ y = 2x


If the digits interchange their places, the resulted number is 27 less than the original number.


⇒ 10x + y = 10y + x - 27


⇒ 10y + x - y - 10x = 27


⇒ 9y - 9x = 27


⇒ y - x = 3


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