Question

The difference between a two-digit number and the number obtained by reversing the order of its digits is 99. If units and ten's digit of the
number are x and y respectively, then write the linear equation representing the above statement .

Answer 1

Answer:

Let the 2 digits be x,y. respectively

2 digit number =10x+y

2 digit number obtained by ususing the digit =10y+x

∴10x+y+10y+x=99

⇒11x+11y=99

⇒x+y=9

x−y=3

On adding : 2x=12

x=6

putting x in ⟶(i)

6+y=9

y=3

∴ Number =10x+y=63

or , 10y+x=36.

Step-by-step explanation:

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