Question

6. The sum of digits of a two digit number is 9 if 27 is added to it the digits of number get reversed. The
b) 72
c) 63
d) 36​

Answer 1

Answer:

The number is 36

Step-by-step explanation:

Let the number be 10x + y

[ Here We took 10x + y because let the number be 27 it can be written as 10(2) + 7)]

So the digits are x, y

ATQ, x + y = 9 –––(1)

10x+y+27 = 10y +x

9x +27 =9y

27 = 9y - 9x

27 = 9(y-x)

y-x =3

y = 3 +x

Putting value if y in equation (1)

x+3 + x= 9

2x=9-3

x=6/2

x = 3

Putting value of x in equation (1)

3+y=9

y=9-3

y=6

So the number is 10(3) + 6

30+6

36

HENCE THE NUMBER IS 36

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