Question

Q13. The sum of the digits of a two digits number is 13. If the digits are reversed, the new nunter is
45 nprethanthe original. Find the number.​

Answer 1

Answer:

The two digit of 2-digit number be x and y.

x+y=13⟶(i)

2-digit number =10x+y

2-digit number obtained by reversing the digits =10y+x

∴(10y+x)−(10x+y)=45

⇒9y−9x=45

⇒y−x=5⟶(ii)

On adding (i) and (ii),

2y=18

y=9

Putting y in equation (i), we get,

x+y=13

x=4

∴ 2-digit number =10x+y=49

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