Question

A number of 2 digits is five times of sum of its digits.If 9 is added to the number get interchanged .The sum of the digits of the number is what?​

Answer 1

Step-by-step explanation:

Let the number be xy.

x + y = 5

(10x + y) - 9 = 10y + x (I multiplied by 10 because of place values)

10x + y - 9 = 10y + x

9x - 9y = 9

x - y = 1

So, now we know x+y = 5 and x - y = 1

x + y = 5

x - y = 1

+_________

2x = 6

x = 3

x + y = 5

3 + y = 5

y = 2

The number is 32.

Answer 2

Answer:

The answer is given in the attachment

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