Question

Sum ofthe digits of a two digit number is 9 when we interchange the desert it is found that the resulting new number is greater than the original number by 27 what is the two digit number​

Answer 1

Answer:

CORRECT QUESTION:

Sum of the digits of a two digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?

GIVEN:

• Sum of the digits of a two digit number is 9.
• After interchanging the digits it is found that the resulting new number is greater than the original number by 27.

R.T.F:

The two digit number

SOLUTION:

Let the unit's digit of the number be x

Then the ten's digit = (9-x)

So, the number

$= 10(9 - x) + x = 90 \\ = 90 - 10x + x = 90 \\ = 90 - 9x$

Now, number obtained after interchanging the digits

$10x + (9 - x) = 9x + 9$

After interchanging the digits it is found that the resulting new number is greater than the original number by 27(given)

So,

$9x + 9 = (90 - 9x) + 27 \\ 9x + 9x = 90 + 27 - 9 \\ 18x = 108 \\ x = 6$

Units digit= 6

Ten's digit= 3

$\therefore \: The \: required \: number \: is \: 36$

HOPE IT HELPS YOU

$\mathbb \blue{THANK \: YOU}$

Answer 2

Answer:

36 is the answer for this question