Question

The difference of a two digit number and number obtained by interchanging the digits 36 .also the digit at the tens place is one more than twice the digit at the unit place. to find original number form simultaneous equations ​

Answer 1

Answer:

number is 73

Step-by-step explanation:

Let x and y be the digits.

Then the number is 10x+y

number got by interchanging digits is, 10y+x

Their difference is,

10x+y - (10y+x) = 36

9x-9y = 36

x - y = 4. eqn 1

Also given x = 1 + 2y

so from eqn 1

(1 + 2y) - y = 4

1 + y = 4

y = 3

again from eqn 1.

x - 3 = 4

x = 7

number is 73

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