Question

Sum of the digits of two digit number is 9. When we interchange the

digits. It is found that resultant new number is greater than the original

number by 27. What is the two digit number.​

Answer 1

Answer:

a=6 and b=3 this is the answer

I am sure

Answer 2

Answer:

let the two digits be x and y

sum of the two digits = x+y=9 (eq1)

the first number is 10(x)+1(y)

the second no is 10(y)+1(x)

10y+x-(10x+y)=27

9y-9x=27

9(y-x)=27

y-x=3

-x+y=3(eq2)

y=3+x

substituting value of y in (eq1)

x+3+x=9

2x=6

x=3

substituting value of x in eq1

3+y=9

y=6

hence the number is 36

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